library(ggplot2)
library(btergm)
## Registered S3 methods overwritten by 'btergm':
##   method    from
##   plot.gof  ergm
##   print.gof ergm
## Package:  btergm
## Version:  1.10.6
## Date:     2022-04-01
## Authors:  Philip Leifeld (University of Essex)
##           Skyler J. Cranmer (The Ohio State University)
##           Bruce A. Desmarais (Pennsylvania State University)
library(ggpubr)
library(ergm)
## Loading required package: network
## 
## 'network' 1.18.1 (2023-01-24), part of the Statnet Project
## * 'news(package="network")' for changes since last version
## * 'citation("network")' for citation information
## * 'https://statnet.org' for help, support, and other information
## 
## 'ergm' 4.4.0 (2023-01-26), part of the Statnet Project
## * 'news(package="ergm")' for changes since last version
## * 'citation("ergm")' for citation information
## * 'https://statnet.org' for help, support, and other information
## 'ergm' 4 is a major update that introduces some backwards-incompatible
## changes. Please type 'news(package="ergm")' for a list of major
## changes.
## 
## Attaching package: 'ergm'
## The following object is masked from 'package:btergm':
## 
##     gof
library(readr)
library(magrittr) 
library(tidyr)   
## 
## Attaching package: 'tidyr'
## The following object is masked from 'package:magrittr':
## 
##     extract
library(ggnetwork)
library(gplots)
## 
## Attaching package: 'gplots'
## The following object is masked from 'package:stats':
## 
##     lowess
library(ggraph)
library(statnet)
## Loading required package: tergm
## Loading required package: networkDynamic
## 
## 'networkDynamic' 0.11.3 (2023-02-15), part of the Statnet Project
## * 'news(package="networkDynamic")' for changes since last version
## * 'citation("networkDynamic")' for citation information
## * 'https://statnet.org' for help, support, and other information
## Registered S3 method overwritten by 'tergm':
##   method                   from
##   simulate_formula.network ergm
## 
## 'tergm' 4.1.1 (2022-11-07), part of the Statnet Project
## * 'news(package="tergm")' for changes since last version
## * 'citation("tergm")' for citation information
## * 'https://statnet.org' for help, support, and other information
## 
## Attaching package: 'tergm'
## The following object is masked from 'package:ergm':
## 
##     snctrl
## Loading required package: ergm.count
## 
## 'ergm.count' 4.1.1 (2022-05-24), part of the Statnet Project
## * 'news(package="ergm.count")' for changes since last version
## * 'citation("ergm.count")' for citation information
## * 'https://statnet.org' for help, support, and other information
## Loading required package: sna
## Loading required package: statnet.common
## 
## Attaching package: 'statnet.common'
## The following object is masked from 'package:ergm':
## 
##     snctrl
## The following objects are masked from 'package:base':
## 
##     attr, order
## sna: Tools for Social Network Analysis
## Version 2.7-1 created on 2023-01-24.
## copyright (c) 2005, Carter T. Butts, University of California-Irvine
##  For citation information, type citation("sna").
##  Type help(package="sna") to get started.
## Loading required package: tsna
## 
## 'statnet' 2019.6 (2019-06-13), part of the Statnet Project
## * 'news(package="statnet")' for changes since last version
## * 'citation("statnet")' for citation information
## * 'https://statnet.org' for help, support, and other information
## unable to reach CRAN
library(igraph)
## 
## Attaching package: 'igraph'
## The following objects are masked from 'package:sna':
## 
##     betweenness, bonpow, closeness, components, degree, dyad.census,
##     evcent, hierarchy, is.connected, neighborhood, triad.census
## The following object is masked from 'package:tidyr':
## 
##     crossing
## The following objects are masked from 'package:network':
## 
##     %c%, %s%, add.edges, add.vertices, delete.edges, delete.vertices,
##     get.edge.attribute, get.edges, get.vertex.attribute, is.bipartite,
##     is.directed, list.edge.attributes, list.vertex.attributes,
##     set.edge.attribute, set.vertex.attribute
## The following objects are masked from 'package:stats':
## 
##     decompose, spectrum
## The following object is masked from 'package:base':
## 
##     union
library(igraphdata)
library(sna)
data("macaque")
net <- macaque
adj_matrix <- as.matrix(as_adjacency_matrix(macaque))
net_sna <- network(adj_matrix, directed = TRUE)
summary(macaque)
## IGRAPH f7130f3 DN-- 45 463 -- 
## + attr: Citation (g/c), Author (g/c), shape (v/c), name (v/c)
is_simple(macaque)
## [1] TRUE
is_directed(macaque)
## [1] TRUE
sim_und_net <- igraph::undirected_graph(macaque)
sim_und_net <- as.undirected(macaque)
#Creating the first visualization to better understand our network 
ggraph(net) +
  geom_edge_link(alpha = .25) +
  geom_node_point() +
  geom_node_label(aes(label = name), repel = T, label.size = 0.1, alpha = 0.8, 
                  color = "grey50", fill = "#D7DFD7") +
  ggnetwork::theme_blank()
## Using "stress" as default layout
## Warning: Using the `size` aesthetic in this geom was deprecated in ggplot2 3.4.0.
## ℹ Please use `linewidth` in the `default_aes` field and elsewhere instead.
## This warning is displayed once every 8 hours.
## Call `lifecycle::last_lifecycle_warnings()` to see where this warning was
## generated.

#Understanding degree (the number of ties a node has)
deg <- igraph::degree(net)
deg
##     V1     V2     V3    V3A     V4    V4t    VOT     VP     MT MSTd/p   MSTl 
##     16     28     28     25     40     17     10     27     32     33     19 
##     PO    LIP    PIP    VIP     DP     7a    FST   PITd   PITv   CITd   CITv 
##     28     38     16     40     20     24     35     13     20      9     16 
##   AITd   AITv   STPp   STPa     TF     TH    FEF     46     3a     3b      1 
##     14     12     20      9     29     21     38     36     12      8     15 
##      2      5     Ri    SII     7b      4      6    SMA     Ig     Id     35 
##     20     20      8     23     22     17     20     16     11      7      6 
##     36 
##      8
#Second visualization 
ggraph(net) + 
  geom_edge_link0(color = "black", alpha = .5) +
  geom_node_point(fill = "#EFD9D3", color = "black", shape = 1, 
                  size = V(net)$size <- igraph::degree(net, mode = "all")) +
  ggnetwork::theme_blank()
## Using "stress" as default layout

#Taking a look at in degree (the in-degree of a node is the number of incoming edges that are directed towards the node. In other words, it is a measure of the number of other nodes that have edges pointing to the given node)
deg_in <- igraph::degree(net, mode = "in")
deg_in
##     V1     V2     V3    V3A     V4    V4t    VOT     VP     MT MSTd/p   MSTl 
##      8     13     14     12     20      8      5     13     16     16     11 
##     PO    LIP    PIP    VIP     DP     7a    FST   PITd   PITv   CITd   CITv 
##     15     18      8     20     10     14     18      5     11      3      8 
##   AITd   AITv   STPp   STPa     TF     TH    FEF     46     3a     3b      1 
##      9      7     10      4     12      9     18     16      6      4      7 
##      2      5     Ri    SII     7b      4      6    SMA     Ig     Id     35 
##     10     10      4     13     12      9     10      8      6      3      4 
##     36 
##      6
#Directed visualization
ggraph(net) + 
  geom_edge_link(color = "black", alpha = .5,
                 arrow = grid::arrow(angle = 20,
                                     length = unit(0.10, "in"),
                                     type = "closed"), 
                 start_cap = circle(2, 'mm'),
                 end_cap = circle(2, 'mm')) +
  geom_node_point(fill = "#EFD9D3", color = "black", shape = 21, 
                  size = igraph::degree(net, mode = "in")) +
  ggnetwork::theme_blank()
## Using "stress" as default layout

#Taking a look at out degree (In network analysis, the out-degree of a node is the number of outgoing edges that are directed away from the node. In other words, it is a measure of the number of other nodes to which the given node is connected by an edge)
deg_out <- igraph::degree(net, mode = "out")
deg_out
##     V1     V2     V3    V3A     V4    V4t    VOT     VP     MT MSTd/p   MSTl 
##      8     15     14     13     20      9      5     14     16     17      8 
##     PO    LIP    PIP    VIP     DP     7a    FST   PITd   PITv   CITd   CITv 
##     13     20      8     20     10     10     17      8      9      6      8 
##   AITd   AITv   STPp   STPa     TF     TH    FEF     46     3a     3b      1 
##      5      5     10      5     17     12     20     20      6      4      8 
##      2      5     Ri    SII     7b      4      6    SMA     Ig     Id     35 
##     10     10      4     10     10      8     10      8      5      4      2 
##     36 
##      2
ggraph(net) + 
  geom_edge_link(color = "black", alpha = .5,
                 arrow = grid::arrow(angle = 20,
                                     length = unit(0.10, "in"),
                                     type = "closed"), 
                 start_cap = circle(2, 'mm'),
                 end_cap = circle(2, 'mm')) +
  geom_node_point(fill = "#EFD9D3", color = "black", shape = 21, 
                  size = V(net)$size <- igraph::degree(net, mode = "out")) +
  ggnetwork::theme_blank()
## Using "stress" as default layout

#Examining Closeness (closeness is a measure of how easily a node can reach other nodes in the network. Specifically, it is the inverse of the sum of the shortest path distances from a node to all other nodes in the network)
close <- igraph::closeness(net) 
close 
##          V1          V2          V3         V3A          V4         V4t 
## 0.009803922 0.012658228 0.012820513 0.011627907 0.013333333 0.010638298 
##         VOT          VP          MT      MSTd/p        MSTl          PO 
## 0.009523810 0.012820513 0.013157895 0.013333333 0.011627907 0.011764706 
##         LIP         PIP         VIP          DP          7a         FST 
## 0.014285714 0.010101010 0.014084507 0.011904762 0.012195122 0.013333333 
##        PITd        PITv        CITd        CITv        AITd        AITv 
## 0.011235955 0.011627907 0.009803922 0.010416667 0.010638298 0.010000000 
##        STPp        STPa          TF          TH         FEF          46 
## 0.011363636 0.010101010 0.013698630 0.012048193 0.014084507 0.014705882 
##          3a          3b           1           2           5          Ri 
## 0.009523810 0.007352941 0.009708738 0.009900990 0.010752688 0.008474576 
##         SII          7b           4           6         SMA          Ig 
## 0.010101010 0.011494253 0.009708738 0.010989011 0.010752688 0.008403361 
##          Id          35          36 
## 0.007299270 0.006250000 0.006250000
ggraph(net) + 
  geom_edge_link0(color = "black", alpha = .5, 
                  arrow = grid::arrow(angle = 20,
                                      length = unit(0.10, "in"),
                                      type = "closed"), 
                  start_cap = circle(2, 'mm'),
                  end_cap = circle(2, 'mm')) +
  geom_node_point(fill = "#EFD9D3", color = "black", shape = 21, 
                  size = igraph::closeness(net)*15) +
  ggnetwork::theme_blank()
## Using "stress" as default layout
## Warning in geom_edge_link0(color = "black", alpha = 0.5, arrow =
## grid::arrow(angle = 20, : Ignoring unknown parameters: `start_cap` and `end_cap`

ggraph(net) + 
  geom_edge_link0(color = "black", alpha = .5) +
  geom_node_point(fill = "#EFD9D3", color = "black", shape = 21,
                  size = igraph::closeness(net)*900) +
  ggnetwork::theme_blank()
## Using "stress" as default layout

#Examining in closeness
close_in <- igraph::closeness(net, mode = "in") 
close_in 
##          V1          V2          V3         V3A          V4         V4t 
## 0.009433962 0.010204082 0.012195122 0.010416667 0.012048193 0.009708738 
##         VOT          VP          MT      MSTd/p        MSTl          PO 
## 0.009174312 0.012048193 0.012500000 0.012500000 0.011627907 0.011764706 
##         LIP         PIP         VIP          DP          7a         FST 
## 0.012987013 0.009433962 0.013698630 0.010752688 0.012658228 0.012820513 
##        PITd        PITv        CITd        CITv        AITd        AITv 
## 0.009803922 0.010869565 0.008474576 0.008928571 0.010309278 0.008695652 
##        STPp        STPa          TF          TH         FEF          46 
## 0.010204082 0.009174312 0.010989011 0.010416667 0.012820513 0.013157895 
##          3a          3b           1           2           5          Ri 
## 0.009615385 0.008333333 0.010000000 0.010869565 0.011235955 0.008695652 
##         SII          7b           4           6         SMA          Ig 
## 0.012048193 0.012048193 0.011363636 0.011363636 0.010638298 0.009174312 
##          Id          35          36 
## 0.008771930 0.009900990 0.010752688
ggraph(net) + 
  geom_edge_link(color = "black", alpha = .5, 
                  arrow = grid::arrow(angle = 20,
                                      length = unit(0.10, "in"),
                                      type = "closed"), 
                  start_cap = circle(2, 'mm'),
                  end_cap = circle(2, 'mm')) +
  geom_node_point(fill = "#EFD9D3", color = "black", shape = 21,
                  size = igraph::closeness(net, mode = "in")*600) +
  ggnetwork::theme_blank()
## Using "stress" as default layout

#Examining out closeness 
close_out <- igraph::closeness(net, mode = "out") 
close_out 
##          V1          V2          V3         V3A          V4         V4t 
## 0.009803922 0.012658228 0.012820513 0.011627907 0.013333333 0.010638298 
##         VOT          VP          MT      MSTd/p        MSTl          PO 
## 0.009523810 0.012820513 0.013157895 0.013333333 0.011627907 0.011764706 
##         LIP         PIP         VIP          DP          7a         FST 
## 0.014285714 0.010101010 0.014084507 0.011904762 0.012195122 0.013333333 
##        PITd        PITv        CITd        CITv        AITd        AITv 
## 0.011235955 0.011627907 0.009803922 0.010416667 0.010638298 0.010000000 
##        STPp        STPa          TF          TH         FEF          46 
## 0.011363636 0.010101010 0.013698630 0.012048193 0.014084507 0.014705882 
##          3a          3b           1           2           5          Ri 
## 0.009523810 0.007352941 0.009708738 0.009900990 0.010752688 0.008474576 
##         SII          7b           4           6         SMA          Ig 
## 0.010101010 0.011494253 0.009708738 0.010989011 0.010752688 0.008403361 
##          Id          35          36 
## 0.007299270 0.006250000 0.006250000
ggraph(net) +
  geom_edge_link(color = "black", alpha = .5,
                  arrow = grid::arrow(angle = 20,
                                      length = unit(0.10, "in"),
                                      type = "closed"),
                  start_cap = circle(2, 'mm'),
                  end_cap = circle(2, 'mm')) +
  geom_node_point(fill = "#EFD9D3", color = "black", shape = 21,
                  size = igraph::closeness(net, mode = "out")*10) +
  ggnetwork::theme_blank()
## Using "stress" as default layout

#betweenness (number of shortest paths through node)
bet_d <- igraph::betweenness(net, directed = T)
summary(bet_d) #number of shortest paths through node
##    Min. 1st Qu.  Median    Mean 3rd Qu.    Max. 
##    0.00   10.42   26.70   50.53   53.07  346.73
ggraph(net) + 
  geom_edge_link(color = "black", alpha = .5, 
                  arrow = grid::arrow(angle = 20,
                                      length = unit(0.10, "in"),
                                      type = "closed"),
                  start_cap = circle(2, 'mm'),
                  end_cap = circle(2, 'mm')) +
  geom_node_point(fill = "#EFD9D3", color = "black", shape = 21,
                  size = igraph::betweenness(net, directed = T)/50) +
  ggnetwork::theme_blank()
## Using "stress" as default layout

#edge betweenness (importance of a particular relationship)
eb_n <- edge.betweenness(net, directed = T)
summary(eb_n) #importance of a particular relationship
##    Min. 1st Qu.  Median    Mean 3rd Qu.    Max. 
##   1.367   3.809   6.316   9.188  11.671  83.410
ggraph(net) + 
  geom_edge_link(color = "black", alpha = .5, 
                  arrow = grid::arrow(angle = 20,
                                      length = unit(0.10, "in"),
                                      type = "closed"),
                  start_cap = circle(2, 'mm'),
                  end_cap = circle(2, 'mm'),
                  aes(width = edge.betweenness(net, directed = T))) +
  scale_edge_width(range = c(0.15, 2)) +
  geom_node_point(fill = "#EFD9D3", color = "black", shape = 21) + 
  ggnetwork::theme_blank() + theme(legend.position = "none")
## Using "stress" as default layout

#eigenvector centrality (importance based on importance of connected nodes). (eigenvector centrality is a measure of the influence of a node in a network. It takes into account both the number of connections a node has and the importance of the nodes that it is connected to)
evc_dir <- eigen_centrality(net, directed = T)$vector
summary(evc_dir) 
##    Min. 1st Qu.  Median    Mean 3rd Qu.    Max. 
## 0.04891 0.23282 0.39451 0.47979 0.74847 1.00000
evc_undir <- eigen_centrality(net, directed = F)$vector
summary(evc_undir)
##    Min. 1st Qu.  Median    Mean 3rd Qu.    Max. 
##  0.0326  0.2282  0.3470  0.4600  0.7652  1.0000
ggraph(net) + 
  geom_edge_link(color = "black", alpha = .5) +
  geom_node_point(fill = "#EFD9D3", color = "black", shape = 21, 
                  size = igraph::eigen_centrality(net)$vector*10) +
  ggnetwork::theme_blank()
## Using "stress" as default layout

#graph strength (sum of the weights of edges connected to the node (can also calcuate manually)
gs <- graph.strength(net, mode = "all")
gs
##     V1     V2     V3    V3A     V4    V4t    VOT     VP     MT MSTd/p   MSTl 
##     16     28     28     25     40     17     10     27     32     33     19 
##     PO    LIP    PIP    VIP     DP     7a    FST   PITd   PITv   CITd   CITv 
##     28     38     16     40     20     24     35     13     20      9     16 
##   AITd   AITv   STPp   STPa     TF     TH    FEF     46     3a     3b      1 
##     14     12     20      9     29     21     38     36     12      8     15 
##      2      5     Ri    SII     7b      4      6    SMA     Ig     Id     35 
##     20     20      8     23     22     17     20     16     11      7      6 
##     36 
##      8
ggraph(net) +
  geom_edge_link0(color = "black", alpha = .5) +
  geom_node_point(fill = "#EFD9D3", color = "black",
                  shape = 21, 
                  size = graph.strength(net, mode = "all")/5) +
  ggnetwork::theme_blank()
## Using "stress" as default layout

#Whole network centrality (degree distribution)
in_deg <- igraph::degree(net, mode="in")   
table(in_deg)
## in_deg
##  3  4  5  6  7  8  9 10 11 12 13 14 15 16 18 20 
##  2  4  2  3  2  5  3  5  2  3  3  2  1  3  3  2
df <- as.data.frame(in_deg)
df$out_deg <- igraph::degree(net, mode="out")
table(df$out_deg)
## 
##  2  4  5  6  8  9 10 12 13 14 15 16 17 20 
##  2  3  5  2  8  2  8  1  2  2  1  1  3  5
df$total_deg <- df$in_deg + df$out_deg
table(df$total_deg)
## 
##  6  7  8  9 10 11 12 13 14 15 16 17 19 20 21 22 23 24 25 27 28 29 32 33 35 36 
##  1  1  3  2  1  1  2  1  1  1  4  2  1  6  1  1  1  1  1  1  3  1  1  1  1  1 
## 38 40 
##  2  2
ind_plot <- ggplot(df, aes(x=in_deg)) + 
  geom_histogram(colour="black", fill="#DFE6EB", binwidth = 0.5) +
  scale_x_continuous(limits = c(-1, 15), expand = c(0, 0)) + 
  scale_y_continuous(limits = c(0, 25), expand = c(0, 0)) +
  xlab("In Degree") + ylab("Count") + theme_classic()
ind_plot
## Warning: Removed 8 rows containing non-finite values (`stat_bin()`).
## Warning: Removed 2 rows containing missing values (`geom_bar()`).

outd_plot <- ggplot(df, aes(x=out_deg)) + 
  geom_histogram(colour="black", fill="#DFE6EB", binwidth = 0.5) +
  scale_x_continuous(limits = c(-1, 15), expand = c(0, 0)) +
  scale_y_continuous(limits = c(0, 25), expand = c(0, 0)) +
  xlab("Out Degree") + ylab("Count") + theme_classic()
outd_plot
## Warning: Removed 9 rows containing non-finite values (`stat_bin()`).
## Removed 2 rows containing missing values (`geom_bar()`).

totd_plot <- ggplot(df, aes(x=total_deg)) +
  geom_histogram(colour="black", fill="#DFE6EB", binwidth = 0.5) +
  scale_x_continuous(limits = c(-1, 15), expand = c(0, 0)) +
  scale_y_continuous(limits = c(0, 25), expand = c(0, 0)) +
  xlab("Total Degree") + ylab("Count") + theme_classic()
totd_plot
## Warning: Removed 31 rows containing non-finite values (`stat_bin()`).
## Removed 2 rows containing missing values (`geom_bar()`).

#degree centralization####
cent_deg <- centralization.degree(net, mode = "all")$centralization
round(cent_deg, digits = 3)
## [1] 0.226
#closeness centralization####
cent_clo <- centralization.closeness(net, mode = "all")$centralization
round(cent_clo, digits = 3)
## [1] 0.281
#betweenness centralization####
cent_bet <- centralization.betweenness(net)$centralization
round(cent_bet, digits = 3)
## [1] 0.16
#eigenvector centralization####
cent_evc <- centralization.evcent(net)$centralization
round(cent_evc, digits = 3)
## [1] 0.565
#We will need to draw conclusions from this in the paper 


########MOVING ON TO DYIADS#########

#### Dyads####
igraph::dyad_census(net)
## $mut
## [1] 208
## 
## $asym
## [1] 47
## 
## $null
## [1] 735
igraph::reciprocity(net)
## [1] 0.8984881
igraph::which_mutual(net)
##   [1]  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE
##  [13]  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE FALSE FALSE  TRUE  TRUE  TRUE
##  [25]  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE
##  [37]  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE FALSE  TRUE  TRUE
##  [49]  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE
##  [61]  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE
##  [73]  TRUE  TRUE  TRUE FALSE FALSE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE
##  [85]  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE FALSE  TRUE
##  [97]  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE
## [109]  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE FALSE  TRUE  TRUE
## [121]  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE
## [133]  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE
## [145]  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE
## [157]  TRUE  TRUE FALSE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE
## [169]  TRUE FALSE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE FALSE
## [181]  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE FALSE  TRUE  TRUE  TRUE  TRUE
## [193]  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE FALSE
## [205]  TRUE  TRUE  TRUE  TRUE FALSE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE
## [217]  TRUE  TRUE  TRUE FALSE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE
## [229]  TRUE  TRUE  TRUE FALSE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE
## [241]  TRUE FALSE FALSE FALSE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE
## [253] FALSE  TRUE  TRUE FALSE FALSE FALSE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE
## [265]  TRUE  TRUE  TRUE  TRUE  TRUE FALSE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE
## [277]  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE
## [289] FALSE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE
## [301] FALSE  TRUE FALSE  TRUE  TRUE  TRUE  TRUE FALSE FALSE FALSE  TRUE  TRUE
## [313] FALSE  TRUE  TRUE  TRUE FALSE  TRUE  TRUE  TRUE  TRUE FALSE  TRUE  TRUE
## [325]  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE FALSE  TRUE  TRUE
## [337]  TRUE  TRUE  TRUE FALSE FALSE FALSE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE
## [349]  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE FALSE  TRUE FALSE
## [361] FALSE FALSE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE
## [373]  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE FALSE  TRUE  TRUE  TRUE  TRUE  TRUE
## [385]  TRUE  TRUE FALSE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE FALSE
## [397]  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE
## [409]  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE FALSE  TRUE  TRUE  TRUE  TRUE
## [421]  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE FALSE  TRUE  TRUE  TRUE
## [433]  TRUE  TRUE FALSE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE
## [445]  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE
## [457] FALSE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE
igraph::triad_census(net)
##  [1] 5875 1135 5084   27   26   21  212  305    3    1  951    5   16   12  143
## [16]  374
#Transitivity (local) (In network analysis, transitivity refers to the tendency for nodes in a network to be connected to other nodes that are also connected to each other. In other words, if node A is connected to node B, and node B is connected to node C, then there is a high likelihood that node A is also connected to node C)
trans <- igraph::transitivity(net, type = "local", isolates = "zero")
summary(trans)
##    Min. 1st Qu.  Median    Mean 3rd Qu.    Max. 
##  0.2667  0.4381  0.6000  0.5752  0.6667  1.0000
#global
trans <- igraph::transitivity(net, type = "global")
trans
## [1] 0.5187266
#### structural holes####
# efficiency####
global_efficiency(net)
## [1] 0.5606734
local_efficiency(net)
##        V1        V2        V3       V3A        V4       V4t       VOT        VP 
## 0.9017857 0.8031746 0.8159341 0.8557692 0.6462719 0.8777778 0.7500000 0.7930403 
##        MT    MSTd/p      MSTl        PO       LIP       PIP       VIP        DP 
## 0.8145833 0.7653186 0.8136364 0.7992063 0.7188596 0.8125000 0.6638889 0.8106061 
##        7a       FST      PITd      PITv      CITd      CITv      AITd      AITv 
## 0.6841270 0.7285575 0.6904762 0.7184343 0.7666667 0.7500000 0.7222222 0.8095238 
##      STPp      STPa        TF        TH       FEF        46        3a        3b 
## 0.6759259 0.8500000 0.6083333 0.6611111 0.6620130 0.5885965 0.8833333 1.0000000 
##         1         2         5        Ri       SII        7b         4         6 
## 0.8571429 0.7818182 0.7606061 0.8750000 0.6702991 0.7350427 0.8000000 0.7954545 
##       SMA        Ig        Id        35        36 
## 0.8571429 0.6666667 0.7500000 0.5763889 0.5500000
average_local_efficiency(net)
## [1] 0.7581608
# constraint####
igraph::constraint(net)
##        V1        V2        V3       V3A        V4       V4t       VOT        VP 
## 0.2606743 0.1908647 0.1817101 0.1964884 0.1329333 0.2305540 0.2673729 0.1692699 
##        MT    MSTd/p      MSTl        PO       LIP       PIP       VIP        DP 
## 0.1796758 0.1543983 0.1963156 0.1830402 0.1361632 0.2244618 0.1345924 0.1850261 
##        7a       FST      PITd      PITv      CITd      CITv      AITd      AITv 
## 0.1448434 0.1440908 0.2074931 0.1866928 0.2886026 0.2344980 0.2091123 0.2953937 
##      STPp      STPa        TF        TH       FEF        46        3a        3b 
## 0.1751029 0.3218064 0.1314761 0.1952027 0.1338407 0.1168105 0.3517794 0.4661943 
##         1         2         5        Ri       SII        7b         4         6 
## 0.3084688 0.2659752 0.2335999 0.3935846 0.2115280 0.2107918 0.2507298 0.2351460 
##       SMA        Ig        Id        35        36 
## 0.2564124 0.3093622 0.4032511 0.3400474 0.2313766
#### density####
den <- igraph::edge_density(net) 
den
## [1] 0.2338384
net_1 <- igraph::simplify(net)
net_1 <- igraph::undirected_graph(net)

is_simple(net)
## [1] TRUE
is_directed(net)
## [1] TRUE
sm50 <- sir(graph = sim_und_net, beta = 10, gamma = 5) 

plot(sm50, comp = "NS")

plot(sm50, comp = "NI")

plot(sm50, comp = "NR")

Model

model2 <- ergm(net_sna ~ edges+mutual+nodefactor("vertex.names")+nodematch("vertex.names")) 
## Observed statistic(s) nodematch.vertex.names are at their smallest attainable values. Their coefficients will be fixed at -Inf.
## Starting maximum pseudolikelihood estimation (MPLE):
## Evaluating the predictor and response matrix.
## Maximizing the pseudolikelihood.
## Finished MPLE.
## Starting Monte Carlo maximum likelihood estimation (MCMLE):
## Iteration 1 of at most 60:
## Optimizing with step length 1.0000.
## The log-likelihood improved by 1.4602.
## Estimating equations are not within tolerance region.
## Iteration 2 of at most 60:
## Optimizing with step length 1.0000.
## The log-likelihood improved by 0.4495.
## Estimating equations are not within tolerance region.
## Iteration 3 of at most 60:
## Optimizing with step length 1.0000.
## The log-likelihood improved by 0.7692.
## Estimating equations are not within tolerance region.
## Iteration 4 of at most 60:
## Optimizing with step length 1.0000.
## The log-likelihood improved by 1.2241.
## Estimating equations are not within tolerance region.
## Estimating equations did not move closer to tolerance region more than 1 time(s) in 4 steps; increasing sample size.
## Iteration 5 of at most 60:
## Optimizing with step length 1.0000.
## The log-likelihood improved by 1.0306.
## Estimating equations are not within tolerance region.
## Iteration 6 of at most 60:
## Optimizing with step length 1.0000.
## The log-likelihood improved by 0.8776.
## Estimating equations are not within tolerance region.
## Iteration 7 of at most 60:
## Optimizing with step length 1.0000.
## The log-likelihood improved by 0.5140.
## Estimating equations are not within tolerance region.
## Iteration 8 of at most 60:
## Optimizing with step length 1.0000.
## The log-likelihood improved by 0.1389.
## Estimating equations are not within tolerance region.
## Iteration 9 of at most 60:
## Optimizing with step length 1.0000.
## The log-likelihood improved by 0.2541.
## Estimating equations are not within tolerance region.
## Iteration 10 of at most 60:
## Optimizing with step length 1.0000.
## The log-likelihood improved by 0.5691.
## Estimating equations are not within tolerance region.
## Estimating equations did not move closer to tolerance region more than 1 time(s) in 4 steps; increasing sample size.
## Iteration 11 of at most 60:
## Optimizing with step length 1.0000.
## The log-likelihood improved by 0.6734.
## Estimating equations are not within tolerance region.
## Iteration 12 of at most 60:
## Optimizing with step length 1.0000.
## The log-likelihood improved by 0.4096.
## Estimating equations are not within tolerance region.
## Iteration 13 of at most 60:
## Optimizing with step length 1.0000.
## The log-likelihood improved by 0.7088.
## Estimating equations are not within tolerance region.
## Estimating equations did not move closer to tolerance region more than 1 time(s) in 4 steps; increasing sample size.
## Iteration 14 of at most 60:
## Optimizing with step length 1.0000.
## The log-likelihood improved by 0.8582.
## Estimating equations are not within tolerance region.
## Iteration 15 of at most 60:
## Optimizing with step length 1.0000.
## The log-likelihood improved by 0.1647.
## Estimating equations are not within tolerance region.
## Iteration 16 of at most 60:
## Optimizing with step length 1.0000.
## The log-likelihood improved by 0.1177.
## Estimating equations are not within tolerance region.
## Iteration 17 of at most 60:
## Optimizing with step length 1.0000.
## The log-likelihood improved by 0.0610.
## Convergence test p-value: 0.6092. Not converged with 99% confidence; increasing sample size.
## Iteration 18 of at most 60:
## Optimizing with step length 1.0000.
## The log-likelihood improved by 0.0509.
## Convergence test p-value: 0.0378. Not converged with 99% confidence; increasing sample size.
## Iteration 19 of at most 60:
## Optimizing with step length 1.0000.
## The log-likelihood improved by 0.0458.
## Convergence test p-value: 0.3457. Not converged with 99% confidence; increasing sample size.
## Iteration 20 of at most 60:
## Optimizing with step length 1.0000.
## The log-likelihood improved by 0.0491.
## Convergence test p-value: 0.0019. Converged with 99% confidence.
## Finished MCMLE.
## Evaluating log-likelihood at the estimate. Fitting the dyad-independent submodel...
## Bridging between the dyad-independent submodel and the full model...
## Setting up bridge sampling...
## Using 16 bridges: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 .
## Bridging finished.
## This model was fit using MCMC.  To examine model diagnostics and check
## for degeneracy, use the mcmc.diagnostics() function.
summary(model2) 
## Call:
## ergm(formula = net_sna ~ edges + mutual + nodefactor("vertex.names") + 
##     nodematch("vertex.names"))
## 
## Monte Carlo Maximum Likelihood Results:
## 
##                                Estimate Std. Error MCMC % z value Pr(>|z|)    
## edges                          -3.81693    0.46685      0  -8.176  < 1e-04 ***
## mutual                          5.36380    0.30323      0  17.689  < 1e-04 ***
## nodefactor.vertex.names.2       0.21371    0.29745      0   0.718  0.47248    
## nodefactor.vertex.names.35     -0.59182    0.38934      0  -1.520  0.12850    
## nodefactor.vertex.names.36     -0.41540    0.36572      0  -1.136  0.25603    
## nodefactor.vertex.names.3a     -0.14342    0.33278      0  -0.431  0.66648    
## nodefactor.vertex.names.3b     -0.40753    0.36148      0  -1.127  0.25956    
## nodefactor.vertex.names.4       0.09695    0.30732      0   0.315  0.75240    
## nodefactor.vertex.names.46      0.74086    0.27748      0   2.670  0.00759 ** 
## nodefactor.vertex.names.5       0.22065    0.30130      0   0.732  0.46397    
## nodefactor.vertex.names.6       0.21087    0.29204      0   0.722  0.47025    
## nodefactor.vertex.names.7a      0.36720    0.29025      0   1.265  0.20582    
## nodefactor.vertex.names.7b      0.28963    0.29492      0   0.982  0.32608    
## nodefactor.vertex.names.AITd   -0.04356    0.31845      0  -0.137  0.89119    
## nodefactor.vertex.names.AITv   -0.14901    0.32224      0  -0.462  0.64379    
## nodefactor.vertex.names.CITd   -0.33869    0.35410      0  -0.957  0.33882    
## nodefactor.vertex.names.CITv    0.06653    0.31511      0   0.211  0.83280    
## nodefactor.vertex.names.DP      0.21976    0.28876      0   0.761  0.44663    
## nodefactor.vertex.names.FEF     0.81567    0.28455      0   2.866  0.00415 ** 
## nodefactor.vertex.names.FST     0.71754    0.28327      0   2.533  0.01131 *  
## nodefactor.vertex.names.Id     -0.50287    0.37540      0  -1.340  0.18039    
## nodefactor.vertex.names.Ig     -0.20516    0.32988      0  -0.622  0.53398    
## nodefactor.vertex.names.LIP     0.79719    0.28316      0   2.815  0.00487 ** 
## nodefactor.vertex.names.MSTd/p  0.66719    0.28370      0   2.352  0.01868 *  
## nodefactor.vertex.names.MSTl    0.18403    0.29305      0   0.628  0.53002    
## nodefactor.vertex.names.MT      0.62774    0.29058      0   2.160  0.03075 *  
## nodefactor.vertex.names.PIP     0.05027    0.30721      0   0.164  0.87002    
## nodefactor.vertex.names.PITd   -0.09266    0.31929      0  -0.290  0.77166    
## nodefactor.vertex.names.PITv    0.21297    0.30382      0   0.701  0.48332    
## nodefactor.vertex.names.PO      0.49360    0.28748      0   1.717  0.08599 .  
## nodefactor.vertex.names.Ri     -0.42381    0.36636      0  -1.157  0.24735    
## nodefactor.vertex.names.SII     0.33030    0.29450      0   1.122  0.26205    
## nodefactor.vertex.names.SMA     0.04136    0.30996      0   0.133  0.89385    
## nodefactor.vertex.names.STPa   -0.33690    0.35404      0  -0.952  0.34131    
## nodefactor.vertex.names.STPp    0.20808    0.29704      0   0.700  0.48362    
## nodefactor.vertex.names.TF      0.53795    0.28146      0   1.911  0.05597 .  
## nodefactor.vertex.names.TH      0.24948    0.28977      0   0.861  0.38926    
## nodefactor.vertex.names.V1      0.05592    0.30985      0   0.180  0.85679    
## nodefactor.vertex.names.V2      0.50450    0.29295      0   1.722  0.08505 .  
## nodefactor.vertex.names.V3      0.49391    0.28750      0   1.718  0.08581 .  
## nodefactor.vertex.names.V3A     0.40164    0.30147      0   1.332  0.18278    
## nodefactor.vertex.names.V4      0.84787    0.28462      0   2.979  0.00289 ** 
## nodefactor.vertex.names.V4t     0.09077    0.30693      0   0.296  0.76744    
## nodefactor.vertex.names.VIP     0.85876    0.27909      0   3.077  0.00209 ** 
## nodefactor.vertex.names.VOT    -0.25328    0.34728      0  -0.729  0.46580    
## nodefactor.vertex.names.VP      0.46892    0.29170      0   1.608  0.10794    
## nodematch.vertex.names             -Inf    0.00000      0    -Inf  < 1e-04 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## 
##  Warning: The following terms have infinite coefficient estimates:
##   nodematch.vertex.names
plogis(coef(model2)[['edges']])
## [1] 0.02152185

This output is the result of a Monte Carlo Maximum Likelihood analysis of an Exponential Random Graph Model (ERGM) fitted to a social network data. The ERGM is a type of statistical model used to explain the formation and structure of social networks by modeling the probability of observed network configurations as a function of certain network features or characteristics. The model formula in this case is net_sna ~ edges + mutual + nodefactor(“vertex.names”) + nodematch(“vertex.names”). Here, net_sna is the dependent variable representing the observed network configuration, and the independent variables include edges (the total number of edges in the network), mutual (the number of mutual ties, i.e., edges between pairs of nodes that are reciprocated), nodefactor(“vertex.names”) (a set of dummy variables representing the node names or labels), and nodematch(“vertex.names”) (a set of nodal covariate terms representing the similarity between nodes based on their names or labels). The Monte Carlo Maximum Likelihood (MCMLE) algorithm is a computational method used to estimate the model parameters by simulating the network configurations and calculating the likelihood of the observed data given the model parameters. The estimates of the model parameters and their standard errors are reported in the output. In this case, the output shows that edges and mutual have significant negative and positive effects, respectively, on the probability of observing a certain network configuration. Some of the dummy variables representing the node names or labels (nodefactor(“vertex.names”)) and the nodal covariate terms (nodematch(“vertex.names”)) are also found to be significant predictors of the network structure. The z-value and p-value columns show the significance of each coefficient estimate. The output also shows that the model has a good fit to the data, as indicated by the low p-values and high z-values of the coefficient estimates.

gof.model1_btergm <- btergm::gof(model2, nsim = 100)
## 
## Starting GOF assessment on a single computing core....
## 
## No 'target' network(s) provided. Using networks on the left-hand side of the model formula as observed networks.
## Simulating 100 networks from the following formula:
##  net_sna ~ edges + mutual + nodefactor("vertex.names") + nodematch("vertex.names")
## One network from which simulations are drawn was provided.
## Processing statistic: Dyad-wise shared partners
## Processing statistic: Edge-wise shared partners
## Processing statistic: Degree
## Processing statistic: Indegree
## Processing statistic: Geodesic distances
## Processing statistic: Tie prediction
## Processing statistic: Modularity (walktrap)
gof.model1_btergm
## Dyad-wise shared partners
##    obs sim: mean median min max Pr(>z)  
## 0  595    273.13  270.0 182 376 0.0209 *
## 1  355    404.78  403.5 295 506 0.7209  
## 2  232    368.47  369.0 282 438 0.3274  
## 3  189    290.87  290.5 231 350 0.4648  
## 4  142    217.95  219.5 169 259 0.5857  
## 5  116    152.82  153.0 112 197 0.7916  
## 6  101    103.70  102.0  64 143 0.9845  
## 7   74     67.56   66.5  38 115 0.9631  
## 8   54     43.29   43.0  16  81 0.9387  
## 9   43     26.70   25.5   6  51 0.9069  
## 10  39     16.60   15.0   1  40 0.8723  
## 11  15      8.04    7.0   0  20 0.9602  
## 12  18      3.80    3.0   0  13 0.9188  
## 13   6      1.56    1.0   0   6 0.9746  
## 14   1      0.53    0.0   0   5 0.9973  
## 15   0      0.18    0.0   0   3 0.9990  
## 16   0      0.02    0.0   0   1 0.9999  
## 17   0      0.00    0.0   0   0 1.0000
## 
## Note: Small p-values indicate a significant difference 
##       between simulations and observed network(s).
## Edge-wise shared partners
##    obs sim: mean median min max Pr(>z)
## 0    6     27.68   27.0  13  50 0.4061
## 1   25     54.72   53.0  31  81 0.2548
## 2   32     66.28   66.0  43  94 0.1890
## 3   46     68.56   67.5  46  98 0.3873
## 4   52     66.35   67.0  46  96 0.5824
## 5   66     53.26   54.0  31  76 0.6254
## 6   50     42.23   41.5  27  61 0.7659
## 7   46     30.84   30.5  15  57 0.5613
## 8   40     21.85   21.5   8  36 0.4868
## 9   38     15.34   15.0   3  32 0.3852
## 10  30      9.91    9.0   0  23 0.4414
## 11  11      5.32    4.5   0  16 0.8277
## 12  14      2.78    2.0   0  10 0.6673
## 13   6      1.00    1.0   0   5 0.8481
## 14   1      0.38    0.0   0   3 0.9810
## 15   0      0.11    0.0   0   2 0.9966
## 16   0      0.02    0.0   0   1 0.9994
## 17   0      0.00    0.0   0   0 1.0000
## 
## Note: Small p-values indicate a significant difference 
##       between simulations and observed network(s).
## Degree
##    obs sim: mean median min max  Pr(>z)  
## 0    0      0.04    0.0   0   1 0.97028  
## 1    0      0.26    0.0   0   2 0.80867  
## 2    0      0.76    1.0   0   3 0.47907  
## 3    0      1.36    1.0   0   4 0.20530  
## 4    4      2.10    2.0   0   6 0.07681 .
## 5    2      2.49    2.0   0   6 0.64814  
## 6    4      2.56    2.5   0   6 0.17989  
## 7    1      3.02    3.0   0   7 0.05994 .
## 8    5      3.00    3.0   0   9 0.06251 .
## 9    1      2.65    3.0   0   6 0.12437  
## 10   4      3.00    3.0   0   7 0.35169  
## 11   4      2.96    3.0   0   7 0.33276  
## 12   3      2.93    3.0   0   8 0.94802  
## 13   3      2.67    2.0   0   7 0.75859  
## 14   2      2.55    2.0   0   9 0.60849  
## 15   3      1.87    2.0   0   5 0.29262  
## 16   1      1.49    1.0   0   6 0.64814  
## 17   2      1.58    1.0   0   6 0.69568  
## 18   0      1.65    2.0   0   5 0.12437  
## 19   1      1.34    1.0   0   5 0.75151  
## 20   3      1.40    1.0   0   6 0.13619  
## 21   1      1.09    1.0   0   4 0.93320  
## 22   1      0.98    1.0   0   3 0.98514  
## 23   0      0.58    0.0   0   2 0.58908  
## 24   0      0.32    0.0   0   2 0.76569  
## 25   0      0.19    0.0   0   1 0.85955  
## 26   0      0.10    0.0   0   1 0.92580  
## 27   0      0.06    0.0   0   1 0.95544  
## 28   0      0.00    0.0   0   0 1.00000
## 
## Note: Small p-values indicate a significant difference 
##       between simulations and observed network(s).
## Indegree
##    obs sim: mean median min max  Pr(>z)  
## 0    0      0.08      0   0   1 0.94408  
## 1    0      0.52      0   0   3 0.64842  
## 2    0      1.30      1   0   4 0.25433  
## 3    2      1.82      2   0   5 0.87459  
## 4    4      2.83      3   0   6 0.30494  
## 5    2      2.99      3   0   7 0.38535  
## 6    3      2.78      3   0   7 0.84703  
## 7    2      3.27      3   0   8 0.26546  
## 8    5      2.80      2   0   7 0.05372 .
## 9    3      3.34      3   0   8 0.76561  
## 10   5      2.93      3   0   7 0.06951 .
## 11   2      3.15      3   0   8 0.31328  
## 12   3      2.67      3   0   8 0.77231  
## 13   3      2.25      2   0   7 0.51078  
## 14   2      1.94      2   0   6 0.95804  
## 15   1      1.70      2   0   5 0.53935  
## 16   3      1.40      1   0   4 0.16063  
## 17   0      1.61      1   0   5 0.15803  
## 18   3      1.34      1   0   4 0.14552  
## 19   0      1.44      1   0   4 0.20671  
## 20   2      1.04      1   0   3 0.39992  
## 21   0      0.71      1   0   3 0.53358  
## 22   0      0.59      0   0   3 0.60492  
## 23   0      0.24      0   0   1 0.83332  
## 24   0      0.14      0   0   1 0.90230  
## 25   0      0.09      0   0   1 0.93710  
## 26   0      0.03      0   0   1 0.97901  
## 27   0      0.00      0   0   0 1.00000
## 
## Note: Small p-values indicate a significant difference 
##       between simulations and observed network(s).
## Geodesic distances
##     obs sim: mean median  min  max Pr(>z)
## 1   463    466.63  464.0  430  526 0.9938
## 2   928   1267.92 1270.0 1196 1322 0.4687
## 3   445    235.06  232.5  160  324 0.6545
## 4   120      2.45    1.0    0   21 0.8022
## 5    24      0.02    0.0    0    1 0.9592
## 6     0      0.00    0.0    0    0 1.0000
## Inf   0      7.92    0.0    0   88 0.9865
## 
## Note: Small p-values indicate a significant difference 
##       between simulations and observed network(s).
## 
##   ROC model ROC random  PR model PR random
## 1 0.7306542  0.5302514 0.4877421 0.2506736
## Modularity (walktrap)
## Observed:
##    Min. 1st Qu.  Median    Mean 3rd Qu.    Max. 
##  0.3316  0.3316  0.3316  0.3316  0.3316  0.3316
## 
## Simulated:
##    Min. 1st Qu.  Median    Mean 3rd Qu.    Max. 
##  0.0451  0.1064  0.1261  0.1247  0.1453  0.1875
plot(gof.model1_btergm)

Based on the tables and the graphs, we can see that models simulation of goodness of fit for edge-wise shared partners and geodesic distances the performance of simulations is not following the distribution of the model. However, degree goodness of fit is a good performance estimator, as it follows the distribution of the model.

mcmc.diagnostics(model2,burnin = 1000, thin = 10)

## Sample statistics summary:
## 
## Iterations = 1699840:33886208
## Thinning interval = 8192 
## Number of chains = 1 
## Sample size per chain = 3930 
## 
## 1. Empirical mean and standard deviation for each variable,
##    plus standard error of the mean:
## 
##                                     Mean     SD Naive SE Time-series SE
## edges                          -0.242494 24.228  0.38648        0.71639
## mutual                         -0.170483 12.190  0.19445        0.37114
## nodefactor.vertex.names.2      -0.024682  5.247  0.08370        0.15306
## nodefactor.vertex.names.35      0.119084  3.070  0.04898        0.06460
## nodefactor.vertex.names.36     -0.071501  3.502  0.05586        0.08951
## nodefactor.vertex.names.3a     -0.109924  4.198  0.06697        0.11136
## nodefactor.vertex.names.3b     -0.048855  3.523  0.05620        0.09419
## nodefactor.vertex.names.4      -0.045802  4.776  0.07619        0.13605
## nodefactor.vertex.names.46      0.007888  6.061  0.09669        0.19379
## nodefactor.vertex.names.5      -0.292366  5.044  0.08045        0.15379
## nodefactor.vertex.names.6       0.288804  5.124  0.08173        0.15194
## nodefactor.vertex.names.7a     -0.342494  5.442  0.08680        0.16534
## nodefactor.vertex.names.7b     -0.124682  5.311  0.08472        0.15627
## nodefactor.vertex.names.AITd    0.102290  4.542  0.07245        0.13079
## nodefactor.vertex.names.AITv   -0.081170  4.261  0.06797        0.11633
## nodefactor.vertex.names.CITd    0.162595  3.796  0.06055        0.09749
## nodefactor.vertex.names.CITv   -0.134097  4.707  0.07509        0.13871
## nodefactor.vertex.names.DP      0.001527  5.152  0.08219        0.14041
## nodefactor.vertex.names.FEF    -0.755471  5.975  0.09531        0.18179
## nodefactor.vertex.names.FST     0.111959  5.873  0.09368        0.18445
## nodefactor.vertex.names.Id      0.078117  3.377  0.05387        0.08340
## nodefactor.vertex.names.Ig     -0.112723  4.047  0.06456        0.10951
## nodefactor.vertex.names.LIP    -0.069975  5.974  0.09530        0.18519
## nodefactor.vertex.names.MSTd/p -0.188295  5.942  0.09479        0.18861
## nodefactor.vertex.names.MSTl   -0.135623  4.989  0.07958        0.13994
## nodefactor.vertex.names.MT     -0.362087  5.768  0.09202        0.18146
## nodefactor.vertex.names.PIP    -0.082443  4.797  0.07652        0.13796
## nodefactor.vertex.names.PITd   -0.021120  4.409  0.07033        0.12376
## nodefactor.vertex.names.PITv    0.337150  5.085  0.08111        0.15091
## nodefactor.vertex.names.PO      0.436641  5.856  0.09341        0.19153
## nodefactor.vertex.names.Ri      0.065140  3.521  0.05617        0.08598
## nodefactor.vertex.names.SII    -0.059033  5.387  0.08594        0.16333
## nodefactor.vertex.names.SMA     0.175064  4.647  0.07412        0.12902
## nodefactor.vertex.names.STPa   -0.056489  3.708  0.05915        0.09311
## nodefactor.vertex.names.STPp    0.305598  5.076  0.08097        0.14240
## nodefactor.vertex.names.TF     -0.414758  5.769  0.09203        0.19391
## nodefactor.vertex.names.TH      0.516285  5.339  0.08516        0.16078
## nodefactor.vertex.names.V1      0.031043  4.699  0.07496        0.13010
## nodefactor.vertex.names.V2     -0.156997  5.640  0.08997        0.17964
## nodefactor.vertex.names.V3      0.513486  5.803  0.09257        0.18039
## nodefactor.vertex.names.V3A    -0.267684  5.402  0.08617        0.15791
## nodefactor.vertex.names.V4      0.474046  6.034  0.09626        0.18759
## nodefactor.vertex.names.V4t     0.159796  4.807  0.07668        0.12752
## nodefactor.vertex.names.VIP    -0.341221  5.980  0.09540        0.19495
## nodefactor.vertex.names.VOT    -0.257506  3.746  0.05975        0.09274
## nodefactor.vertex.names.VP      0.149873  5.548  0.08851        0.16701
## 
## 2. Quantiles for each variable:
## 
##                                2.5% 25% 50%   75% 97.5%
## edges                           -46 -17  -1 16.00    48
## mutual                          -24  -9  -1  8.00    25
## nodefactor.vertex.names.2       -10  -4   0  3.00    11
## nodefactor.vertex.names.35       -5  -2   0  2.00     7
## nodefactor.vertex.names.36       -6  -2   0  2.00     7
## nodefactor.vertex.names.3a       -8  -3   0  3.00     9
## nodefactor.vertex.names.3b       -6  -2   0  2.00     7
## nodefactor.vertex.names.4        -9  -3   0  3.00    10
## nodefactor.vertex.names.46      -11  -4   0  4.00    12
## nodefactor.vertex.names.5       -10  -4   0  3.00    10
## nodefactor.vertex.names.6        -9  -3   0  4.00    10
## nodefactor.vertex.names.7a      -10  -4  -1  3.00    11
## nodefactor.vertex.names.7b      -10  -4   0  3.00    11
## nodefactor.vertex.names.AITd     -8  -3   0  3.00    10
## nodefactor.vertex.names.AITv     -8  -3   0  3.00     9
## nodefactor.vertex.names.CITd     -7  -3   0  3.00     8
## nodefactor.vertex.names.CITv     -9  -3   0  3.00    10
## nodefactor.vertex.names.DP       -9  -4   0  3.00    11
## nodefactor.vertex.names.FEF     -12  -5  -1  3.00    11
## nodefactor.vertex.names.FST     -11  -4   0  4.00    11
## nodefactor.vertex.names.Id       -6  -2   0  2.00     7
## nodefactor.vertex.names.Ig       -7  -3   0  2.00     8
## nodefactor.vertex.names.LIP     -12  -4   0  4.00    12
## nodefactor.vertex.names.MSTd/p  -12  -4   0  4.00    12
## nodefactor.vertex.names.MSTl    -10  -4   0  3.00    10
## nodefactor.vertex.names.MT      -12  -4   0  3.75    11
## nodefactor.vertex.names.PIP      -9  -3   0  3.00    10
## nodefactor.vertex.names.PITd     -8  -3   0  3.00     9
## nodefactor.vertex.names.PITv     -9  -3   0  4.00    11
## nodefactor.vertex.names.PO      -11  -4   0  4.00    12
## nodefactor.vertex.names.Ri       -6  -2   0  2.00     8
## nodefactor.vertex.names.SII     -10  -4   0  4.00    11
## nodefactor.vertex.names.SMA      -8  -3   0  3.00     9
## nodefactor.vertex.names.STPa     -7  -3   0  2.00     8
## nodefactor.vertex.names.STPp     -9  -3   0  4.00    11
## nodefactor.vertex.names.TF      -12  -4  -1  3.00    11
## nodefactor.vertex.names.TH      -10  -3   0  4.00    11
## nodefactor.vertex.names.V1       -9  -3   0  3.00    10
## nodefactor.vertex.names.V2      -11  -4   0  4.00    11
## nodefactor.vertex.names.V3      -11  -3   0  4.00    12
## nodefactor.vertex.names.V3A     -10  -4  -1  3.00    11
## nodefactor.vertex.names.V4      -11  -4   1  5.00    12
## nodefactor.vertex.names.V4t      -9  -3   0  3.00    10
## nodefactor.vertex.names.VIP     -12  -5   0  4.00    11
## nodefactor.vertex.names.VOT      -7  -3   0  2.00     7
## nodefactor.vertex.names.VP      -10  -4   0  4.00    11
## 
## 
## Are sample statistics significantly different from observed?
##                 edges     mutual nodefactor.vertex.names.2
## diff.      -0.2424936 -0.1704835               -0.02468193
## test stat. -0.3384957 -0.4593508               -0.16125897
## P-val.      0.7349896  0.6459823                0.87188944
##            nodefactor.vertex.names.35 nodefactor.vertex.names.36
## diff.                      0.11908397                -0.07150127
## test stat.                 1.84343637                -0.79883637
## P-val.                     0.06526532                 0.42438530
##            nodefactor.vertex.names.3a nodefactor.vertex.names.3b
## diff.                      -0.1099237                -0.04885496
## test stat.                 -0.9871071                -0.51867725
## P-val.                      0.3235901                 0.60398583
##            nodefactor.vertex.names.4 nodefactor.vertex.names.46
## diff.                    -0.04580153                0.007888041
## test stat.               -0.33665911                0.040704603
## P-val.                    0.73637389                0.967531392
##            nodefactor.vertex.names.5 nodefactor.vertex.names.6
## diff.                    -0.29236641                 0.2888041
## test stat.               -1.90106392                 1.9007154
## P-val.                    0.05729364                 0.0573393
##            nodefactor.vertex.names.7a nodefactor.vertex.names.7b
## diff.                     -0.34249364                 -0.1246819
## test stat.                -2.07140878                 -0.7978758
## P-val.                     0.03832061                  0.4249426
##            nodefactor.vertex.names.AITd nodefactor.vertex.names.AITv
## diff.                         0.1022901                  -0.08117048
## test stat.                    0.7821036                  -0.69773172
## P-val.                        0.4341537                   0.48534498
##            nodefactor.vertex.names.CITd nodefactor.vertex.names.CITv
## diff.                        0.16259542                   -0.1340967
## test stat.                   1.66785728                   -0.9667411
## P-val.                       0.09534406                    0.3336735
##            nodefactor.vertex.names.DP nodefactor.vertex.names.FEF
## diff.                     0.001526718               -7.554707e-01
## test stat.                0.010873613               -4.155818e+00
## P-val.                    0.991324283                3.241257e-05
##            nodefactor.vertex.names.FST nodefactor.vertex.names.Id
## diff.                        0.1119593                 0.07811705
## test stat.                   0.6069890                 0.93663302
## P-val.                       0.5438582                 0.34894736
##            nodefactor.vertex.names.Ig nodefactor.vertex.names.LIP
## diff.                      -0.1127226                 -0.06997455
## test stat.                 -1.0292972                 -0.37785930
## P-val.                      0.3033400                  0.70553512
##            nodefactor.vertex.names.MSTd/p nodefactor.vertex.names.MSTl
## diff.                          -0.1882952                   -0.1356234
## test stat.                     -0.9983384                   -0.9691699
## P-val.                          0.3181153                    0.3324604
##            nodefactor.vertex.names.MT nodefactor.vertex.names.PIP
## diff.                     -0.36208651                 -0.08244275
## test stat.                -1.99542210                 -0.59756899
## P-val.                     0.04599686                  0.55012756
##            nodefactor.vertex.names.PITd nodefactor.vertex.names.PITv
## diff.                       -0.02111959                   0.33715013
## test stat.                  -0.17064548                   2.23416331
## P-val.                       0.86450253                   0.02547233
##            nodefactor.vertex.names.PO nodefactor.vertex.names.Ri
## diff.                      0.43664122                 0.06513995
## test stat.                 2.27980224                 0.75760789
## P-val.                     0.02261942                 0.44868575
##            nodefactor.vertex.names.SII nodefactor.vertex.names.SMA
## diff.                      -0.05903308                   0.1750636
## test stat.                 -0.36142974                   1.3569210
## P-val.                      0.71777822                   0.1748063
##            nodefactor.vertex.names.STPa nodefactor.vertex.names.STPp
## diff.                       -0.05648855                   0.30559796
## test stat.                  -0.60671780                   2.14606878
## P-val.                       0.54403821                   0.03186749
##            nodefactor.vertex.names.TF nodefactor.vertex.names.TH
## diff.                     -0.41475827                 0.51628499
## test stat.                -2.13888762                 3.21112811
## P-val.                     0.03244477                 0.00132215
##            nodefactor.vertex.names.V1 nodefactor.vertex.names.V2
## diff.                      0.03104326                 -0.1569975
## test stat.                 0.23861846                 -0.8739510
## P-val.                     0.81140145                  0.3821449
##            nodefactor.vertex.names.V3 nodefactor.vertex.names.V3A
## diff.                     0.513486005                  -0.2676845
## test stat.                2.846476003                  -1.6952115
## P-val.                    0.004420606                   0.0900353
##            nodefactor.vertex.names.V4 nodefactor.vertex.names.V4t
## diff.                      0.47404580                   0.1597964
## test stat.                 2.52704272                   1.2530824
## P-val.                     0.01150275                   0.2101757
##            nodefactor.vertex.names.VIP nodefactor.vertex.names.VOT
## diff.                      -0.34122137                -0.257506361
## test stat.                 -1.75028542                -2.776689452
## P-val.                      0.08006908                 0.005491562
##            nodefactor.vertex.names.VP       (Omni)
## diff.                       0.1498728           NA
## test stat.                  0.8973934 1.196652e+02
## P-val.                      0.3695091 1.771795e-07
## 
## Sample statistics cross-correlations:
##                                    edges    mutual nodefactor.vertex.names.2
## edges                          1.0000000 0.9622021              0.2469479092
## mutual                         0.9622021 1.0000000              0.2429011585
## nodefactor.vertex.names.2      0.2469479 0.2429012              1.0000000000
## nodefactor.vertex.names.35     0.1535836 0.1379368              0.0133422958
## nodefactor.vertex.names.36     0.1531311 0.1371533              0.0103765523
## nodefactor.vertex.names.3a     0.1888371 0.1821600             -0.0029656304
## nodefactor.vertex.names.3b     0.1488672 0.1350017              0.0487269302
## nodefactor.vertex.names.4      0.2161350 0.2029051              0.0249784133
## nodefactor.vertex.names.46     0.2672229 0.2502363              0.0464632248
## nodefactor.vertex.names.5      0.2493874 0.2447470              0.0231562744
## nodefactor.vertex.names.6      0.1890395 0.1816035              0.0087856718
## nodefactor.vertex.names.7a     0.2578577 0.2537753              0.0356370667
## nodefactor.vertex.names.7b     0.2382640 0.2300030              0.0165405589
## nodefactor.vertex.names.AITd   0.1988261 0.1799934              0.0133594549
## nodefactor.vertex.names.AITv   0.1866281 0.1737955              0.0292376526
## nodefactor.vertex.names.CITd   0.1693039 0.1553302             -0.0062259319
## nodefactor.vertex.names.CITv   0.2263512 0.2103235              0.0702578378
## nodefactor.vertex.names.DP     0.2142695 0.1994934              0.0423209363
## nodefactor.vertex.names.FEF    0.2717308 0.2737121              0.0185977947
## nodefactor.vertex.names.FST    0.2491168 0.2484098              0.0154530516
## nodefactor.vertex.names.Id     0.1414785 0.1290751             -0.0071300602
## nodefactor.vertex.names.Ig     0.2072040 0.1897622              0.0073242572
## nodefactor.vertex.names.LIP    0.2335749 0.2370474              0.0329509613
## nodefactor.vertex.names.MSTd/p 0.2823596 0.2874968              0.0670754106
## nodefactor.vertex.names.MSTl   0.2296481 0.2241941              0.0814683134
## nodefactor.vertex.names.MT     0.2763258 0.2676439              0.0403797830
## nodefactor.vertex.names.PIP    0.1850881 0.1832836              0.0253822858
## nodefactor.vertex.names.PITd   0.1907866 0.1803007              0.0372187233
## nodefactor.vertex.names.PITv   0.2347109 0.2253754             -0.0230228655
## nodefactor.vertex.names.PO     0.2144851 0.2107027              0.0354146136
## nodefactor.vertex.names.Ri     0.1185407 0.1034656             -0.0130141225
## nodefactor.vertex.names.SII    0.2142922 0.2042350              0.0465441577
## nodefactor.vertex.names.SMA    0.2131611 0.2101963              0.0344192488
## nodefactor.vertex.names.STPa   0.1229990 0.1088797              0.0001768849
## nodefactor.vertex.names.STPp   0.1914172 0.1779564              0.0264296042
## nodefactor.vertex.names.TF     0.2261257 0.2202190              0.0315203744
## nodefactor.vertex.names.TH     0.2334479 0.2161848              0.0379169273
## nodefactor.vertex.names.V1     0.2150118 0.2088596              0.0623292663
## nodefactor.vertex.names.V2     0.2433135 0.2316546              0.0147050817
## nodefactor.vertex.names.V3     0.2298051 0.2232689              0.0200689532
## nodefactor.vertex.names.V3A    0.2522668 0.2399200              0.0553502165
## nodefactor.vertex.names.V4     0.2579613 0.2545628              0.0546556918
## nodefactor.vertex.names.V4t    0.2067899 0.1995692              0.0305421684
## nodefactor.vertex.names.VIP    0.2551025 0.2542918              0.0774681897
## nodefactor.vertex.names.VOT    0.1417486 0.1296544              0.0522702595
## nodefactor.vertex.names.VP     0.2294039 0.2201491              0.0307352907
##                                nodefactor.vertex.names.35
## edges                                        0.1535835894
## mutual                                       0.1379367580
## nodefactor.vertex.names.2                    0.0133422958
## nodefactor.vertex.names.35                   1.0000000000
## nodefactor.vertex.names.36                  -0.0095761388
## nodefactor.vertex.names.3a                   0.0140078198
## nodefactor.vertex.names.3b                   0.0028905424
## nodefactor.vertex.names.4                   -0.0070209181
## nodefactor.vertex.names.46                   0.0171808229
## nodefactor.vertex.names.5                    0.0296791271
## nodefactor.vertex.names.6                    0.0384681089
## nodefactor.vertex.names.7a                   0.0034622284
## nodefactor.vertex.names.7b                   0.0276319501
## nodefactor.vertex.names.AITd                 0.0079957190
## nodefactor.vertex.names.AITv                 0.0007390399
## nodefactor.vertex.names.CITd                 0.0236898097
## nodefactor.vertex.names.CITv                 0.0577358189
## nodefactor.vertex.names.DP                   0.0347552347
## nodefactor.vertex.names.FEF                  0.0393115202
## nodefactor.vertex.names.FST                  0.0215475002
## nodefactor.vertex.names.Id                  -0.0050942532
## nodefactor.vertex.names.Ig                  -0.0151207848
## nodefactor.vertex.names.LIP                  0.0275937609
## nodefactor.vertex.names.MSTd/p               0.0451007707
## nodefactor.vertex.names.MSTl                 0.0465300589
## nodefactor.vertex.names.MT                   0.0187447781
## nodefactor.vertex.names.PIP                 -0.0096842376
## nodefactor.vertex.names.PITd                 0.0267693684
## nodefactor.vertex.names.PITv                 0.0181967522
## nodefactor.vertex.names.PO                   0.0386805405
## nodefactor.vertex.names.Ri                  -0.0106520204
## nodefactor.vertex.names.SII                 -0.0061756274
## nodefactor.vertex.names.SMA                  0.0292045181
## nodefactor.vertex.names.STPa                 0.0028266050
## nodefactor.vertex.names.STPp                 0.0442382741
## nodefactor.vertex.names.TF                   0.0039527741
## nodefactor.vertex.names.TH                   0.0026298615
## nodefactor.vertex.names.V1                   0.0128678027
## nodefactor.vertex.names.V2                   0.0221699803
## nodefactor.vertex.names.V3                   0.0357353728
## nodefactor.vertex.names.V3A                  0.0088886920
## nodefactor.vertex.names.V4                   0.0378334840
## nodefactor.vertex.names.V4t                  0.0265433862
## nodefactor.vertex.names.VIP                  0.0384029901
## nodefactor.vertex.names.VOT                  0.0295118342
## nodefactor.vertex.names.VP                   0.0468788428
##                                nodefactor.vertex.names.36
## edges                                        0.1531310729
## mutual                                       0.1371533064
## nodefactor.vertex.names.2                    0.0103765523
## nodefactor.vertex.names.35                  -0.0095761388
## nodefactor.vertex.names.36                   1.0000000000
## nodefactor.vertex.names.3a                  -0.0376027077
## nodefactor.vertex.names.3b                  -0.0053580008
## nodefactor.vertex.names.4                    0.0390493371
## nodefactor.vertex.names.46                   0.0799505738
## nodefactor.vertex.names.5                    0.0150864338
## nodefactor.vertex.names.6                    0.0229828495
## nodefactor.vertex.names.7a                   0.0445024600
## nodefactor.vertex.names.7b                   0.0103051870
## nodefactor.vertex.names.AITd                -0.0003401552
## nodefactor.vertex.names.AITv                -0.0163733675
## nodefactor.vertex.names.CITd                 0.0276613589
## nodefactor.vertex.names.CITv                 0.0162175985
## nodefactor.vertex.names.DP                   0.0050987229
## nodefactor.vertex.names.FEF                  0.0635228069
## nodefactor.vertex.names.FST                  0.0030874646
## nodefactor.vertex.names.Id                   0.0084783401
## nodefactor.vertex.names.Ig                   0.0124160912
## nodefactor.vertex.names.LIP                  0.0148105546
## nodefactor.vertex.names.MSTd/p               0.0258836262
## nodefactor.vertex.names.MSTl                 0.0005228812
## nodefactor.vertex.names.MT                   0.0298406484
## nodefactor.vertex.names.PIP                  0.0093162515
## nodefactor.vertex.names.PITd                 0.0199645923
## nodefactor.vertex.names.PITv                 0.0287715557
## nodefactor.vertex.names.PO                   0.0284690804
## nodefactor.vertex.names.Ri                   0.0150131846
## nodefactor.vertex.names.SII                  0.0116218040
## nodefactor.vertex.names.SMA                  0.0397980774
## nodefactor.vertex.names.STPa                -0.0386153335
## nodefactor.vertex.names.STPp                 0.0191860390
## nodefactor.vertex.names.TF                   0.0360887284
## nodefactor.vertex.names.TH                   0.0090411035
## nodefactor.vertex.names.V1                   0.0124007989
## nodefactor.vertex.names.V2                   0.0010939084
## nodefactor.vertex.names.V3                   0.0418512581
## nodefactor.vertex.names.V3A                  0.0364599051
## nodefactor.vertex.names.V4                   0.0173357182
## nodefactor.vertex.names.V4t                  0.0139705201
## nodefactor.vertex.names.VIP                  0.0036110490
## nodefactor.vertex.names.VOT                 -0.0200142014
## nodefactor.vertex.names.VP                   0.0321621013
##                                nodefactor.vertex.names.3a
## edges                                        0.1888370921
## mutual                                       0.1821600210
## nodefactor.vertex.names.2                   -0.0029656304
## nodefactor.vertex.names.35                   0.0140078198
## nodefactor.vertex.names.36                  -0.0376027077
## nodefactor.vertex.names.3a                   1.0000000000
## nodefactor.vertex.names.3b                   0.0335689625
## nodefactor.vertex.names.4                    0.0249947281
## nodefactor.vertex.names.46                   0.0589273085
## nodefactor.vertex.names.5                    0.0084468200
## nodefactor.vertex.names.6                   -0.0180470129
## nodefactor.vertex.names.7a                   0.0186285172
## nodefactor.vertex.names.7b                  -0.0154895152
## nodefactor.vertex.names.AITd                 0.0685429141
## nodefactor.vertex.names.AITv                 0.0257392891
## nodefactor.vertex.names.CITd                 0.0370874427
## nodefactor.vertex.names.CITv                 0.0136141253
## nodefactor.vertex.names.DP                   0.0183286910
## nodefactor.vertex.names.FEF                  0.0577225366
## nodefactor.vertex.names.FST                  0.0266173758
## nodefactor.vertex.names.Id                   0.0282683153
## nodefactor.vertex.names.Ig                   0.0071501983
## nodefactor.vertex.names.LIP                  0.0253778530
## nodefactor.vertex.names.MSTd/p               0.0516625600
## nodefactor.vertex.names.MSTl                 0.0218788163
## nodefactor.vertex.names.MT                   0.0385040185
## nodefactor.vertex.names.PIP                 -0.0068200625
## nodefactor.vertex.names.PITd                 0.0082897531
## nodefactor.vertex.names.PITv                 0.0183099969
## nodefactor.vertex.names.PO                   0.0283421406
## nodefactor.vertex.names.Ri                   0.0369862105
## nodefactor.vertex.names.SII                 -0.0009171769
## nodefactor.vertex.names.SMA                  0.0161481402
## nodefactor.vertex.names.STPa                 0.0004185334
## nodefactor.vertex.names.STPp                -0.0049445106
## nodefactor.vertex.names.TF                   0.0382919815
## nodefactor.vertex.names.TH                   0.0443340926
## nodefactor.vertex.names.V1                   0.0279890091
## nodefactor.vertex.names.V2                   0.0630245992
## nodefactor.vertex.names.V3                   0.0133606120
## nodefactor.vertex.names.V3A                  0.0196776428
## nodefactor.vertex.names.V4                  -0.0048146753
## nodefactor.vertex.names.V4t                  0.0209122000
## nodefactor.vertex.names.VIP                  0.0450566214
## nodefactor.vertex.names.VOT                  0.0323040153
## nodefactor.vertex.names.VP                   0.0348318704
##                                nodefactor.vertex.names.3b
## edges                                        0.1488672083
## mutual                                       0.1350017189
## nodefactor.vertex.names.2                    0.0487269302
## nodefactor.vertex.names.35                   0.0028905424
## nodefactor.vertex.names.36                  -0.0053580008
## nodefactor.vertex.names.3a                   0.0335689625
## nodefactor.vertex.names.3b                   1.0000000000
## nodefactor.vertex.names.4                    0.0097125216
## nodefactor.vertex.names.46                   0.0414446513
## nodefactor.vertex.names.5                   -0.0184639617
## nodefactor.vertex.names.6                    0.0258346350
## nodefactor.vertex.names.7a                   0.0032290152
## nodefactor.vertex.names.7b                  -0.0047598824
## nodefactor.vertex.names.AITd                 0.0049722417
## nodefactor.vertex.names.AITv                 0.0390863318
## nodefactor.vertex.names.CITd                 0.0164263933
## nodefactor.vertex.names.CITv                 0.0099786218
## nodefactor.vertex.names.DP                   0.0011678044
## nodefactor.vertex.names.FEF                  0.0219675744
## nodefactor.vertex.names.FST                  0.0318766873
## nodefactor.vertex.names.Id                   0.0174962010
## nodefactor.vertex.names.Ig                   0.0148749806
## nodefactor.vertex.names.LIP                 -0.0092553180
## nodefactor.vertex.names.MSTd/p               0.0253690598
## nodefactor.vertex.names.MSTl                 0.0171721392
## nodefactor.vertex.names.MT                   0.0131299311
## nodefactor.vertex.names.PIP                 -0.0187463117
## nodefactor.vertex.names.PITd                 0.0289329389
## nodefactor.vertex.names.PITv                 0.0243467768
## nodefactor.vertex.names.PO                   0.0462071006
## nodefactor.vertex.names.Ri                  -0.0262287485
## nodefactor.vertex.names.SII                  0.0206850752
## nodefactor.vertex.names.SMA                  0.0368393412
## nodefactor.vertex.names.STPa                -0.0289674287
## nodefactor.vertex.names.STPp                 0.0289702736
## nodefactor.vertex.names.TF                   0.0236825290
## nodefactor.vertex.names.TH                   0.0361291704
## nodefactor.vertex.names.V1                   0.0219361116
## nodefactor.vertex.names.V2                   0.0048651769
## nodefactor.vertex.names.V3                   0.0265226346
## nodefactor.vertex.names.V3A                  0.0003022737
## nodefactor.vertex.names.V4                   0.0331966019
## nodefactor.vertex.names.V4t                  0.0094930674
## nodefactor.vertex.names.VIP                  0.0296596531
## nodefactor.vertex.names.VOT                  0.0178699680
## nodefactor.vertex.names.VP                   0.0441332765
##                                nodefactor.vertex.names.4
## edges                                       0.2161350218
## mutual                                      0.2029050595
## nodefactor.vertex.names.2                   0.0249784133
## nodefactor.vertex.names.35                 -0.0070209181
## nodefactor.vertex.names.36                  0.0390493371
## nodefactor.vertex.names.3a                  0.0249947281
## nodefactor.vertex.names.3b                  0.0097125216
## nodefactor.vertex.names.4                   1.0000000000
## nodefactor.vertex.names.46                  0.0519336489
## nodefactor.vertex.names.5                   0.0273467175
## nodefactor.vertex.names.6                   0.0370228375
## nodefactor.vertex.names.7a                  0.0360782440
## nodefactor.vertex.names.7b                  0.0153469175
## nodefactor.vertex.names.AITd                0.0350238495
## nodefactor.vertex.names.AITv                0.0442519919
## nodefactor.vertex.names.CITd                0.0634086934
## nodefactor.vertex.names.CITv                0.0427533896
## nodefactor.vertex.names.DP                  0.0297469714
## nodefactor.vertex.names.FEF                 0.0238213873
## nodefactor.vertex.names.FST                 0.0128312913
## nodefactor.vertex.names.Id                  0.0032511625
## nodefactor.vertex.names.Ig                  0.0386799191
## nodefactor.vertex.names.LIP                 0.0406670391
## nodefactor.vertex.names.MSTd/p              0.0325525163
## nodefactor.vertex.names.MSTl                0.0604812356
## nodefactor.vertex.names.MT                  0.0451512321
## nodefactor.vertex.names.PIP                 0.0354936160
## nodefactor.vertex.names.PITd                0.0079426124
## nodefactor.vertex.names.PITv                0.0496286899
## nodefactor.vertex.names.PO                 -0.0232798804
## nodefactor.vertex.names.Ri                 -0.0092808073
## nodefactor.vertex.names.SII                 0.0113683684
## nodefactor.vertex.names.SMA                 0.0403730720
## nodefactor.vertex.names.STPa                0.0290275737
## nodefactor.vertex.names.STPp                0.0085032464
## nodefactor.vertex.names.TF                 -0.0126599646
## nodefactor.vertex.names.TH                  0.0178654491
## nodefactor.vertex.names.V1                  0.0663548909
## nodefactor.vertex.names.V2                  0.0288416718
## nodefactor.vertex.names.V3                  0.0271845911
## nodefactor.vertex.names.V3A                 0.0311883265
## nodefactor.vertex.names.V4                  0.0166575014
## nodefactor.vertex.names.V4t                -0.0279384036
## nodefactor.vertex.names.VIP                 0.0552474808
## nodefactor.vertex.names.VOT                 0.0442256196
## nodefactor.vertex.names.VP                  0.0005472012
##                                nodefactor.vertex.names.46
## edges                                          0.26722293
## mutual                                         0.25023631
## nodefactor.vertex.names.2                      0.04646322
## nodefactor.vertex.names.35                     0.01718082
## nodefactor.vertex.names.36                     0.07995057
## nodefactor.vertex.names.3a                     0.05892731
## nodefactor.vertex.names.3b                     0.04144465
## nodefactor.vertex.names.4                      0.05193365
## nodefactor.vertex.names.46                     1.00000000
## nodefactor.vertex.names.5                      0.03004794
## nodefactor.vertex.names.6                      0.03289622
## nodefactor.vertex.names.7a                     0.01306898
## nodefactor.vertex.names.7b                     0.04260835
## nodefactor.vertex.names.AITd                   0.01486420
## nodefactor.vertex.names.AITv                   0.04700494
## nodefactor.vertex.names.CITd                   0.02412474
## nodefactor.vertex.names.CITv                   0.03194513
## nodefactor.vertex.names.DP                     0.03016254
## nodefactor.vertex.names.FEF                    0.01409412
## nodefactor.vertex.names.FST                    0.02502936
## nodefactor.vertex.names.Id                     0.03429810
## nodefactor.vertex.names.Ig                     0.03054090
## nodefactor.vertex.names.LIP                    0.02166371
## nodefactor.vertex.names.MSTd/p                 0.04212959
## nodefactor.vertex.names.MSTl                   0.01794637
## nodefactor.vertex.names.MT                     0.03367617
## nodefactor.vertex.names.PIP                   -0.01574333
## nodefactor.vertex.names.PITd                   0.04194891
## nodefactor.vertex.names.PITv                   0.03958666
## nodefactor.vertex.names.PO                    -0.02052601
## nodefactor.vertex.names.Ri                     0.04404024
## nodefactor.vertex.names.SII                    0.03242308
## nodefactor.vertex.names.SMA                    0.03451778
## nodefactor.vertex.names.STPa                   0.03122015
## nodefactor.vertex.names.STPp                   0.04645453
## nodefactor.vertex.names.TF                     0.03444114
## nodefactor.vertex.names.TH                     0.02118929
## nodefactor.vertex.names.V1                     0.04077512
## nodefactor.vertex.names.V2                     0.01882031
## nodefactor.vertex.names.V3                     0.03698479
## nodefactor.vertex.names.V3A                    0.06976639
## nodefactor.vertex.names.V4                     0.03716213
## nodefactor.vertex.names.V4t                    0.04937510
## nodefactor.vertex.names.VIP                    0.01559853
## nodefactor.vertex.names.VOT                    0.08153739
## nodefactor.vertex.names.VP                     0.02693766
##                                nodefactor.vertex.names.5
## edges                                        0.249387417
## mutual                                       0.244746950
## nodefactor.vertex.names.2                    0.023156274
## nodefactor.vertex.names.35                   0.029679127
## nodefactor.vertex.names.36                   0.015086434
## nodefactor.vertex.names.3a                   0.008446820
## nodefactor.vertex.names.3b                  -0.018463962
## nodefactor.vertex.names.4                    0.027346717
## nodefactor.vertex.names.46                   0.030047936
## nodefactor.vertex.names.5                    1.000000000
## nodefactor.vertex.names.6                    0.013954371
## nodefactor.vertex.names.7a                   0.057779618
## nodefactor.vertex.names.7b                   0.058407611
## nodefactor.vertex.names.AITd                 0.044814045
## nodefactor.vertex.names.AITv                 0.044814347
## nodefactor.vertex.names.CITd                 0.003693253
## nodefactor.vertex.names.CITv                 0.005455826
## nodefactor.vertex.names.DP                   0.036805260
## nodefactor.vertex.names.FEF                  0.064190590
## nodefactor.vertex.names.FST                  0.033707132
## nodefactor.vertex.names.Id                  -0.004097776
## nodefactor.vertex.names.Ig                   0.019383464
## nodefactor.vertex.names.LIP                  0.018073239
## nodefactor.vertex.names.MSTd/p               0.101371696
## nodefactor.vertex.names.MSTl                 0.061734825
## nodefactor.vertex.names.MT                   0.041632783
## nodefactor.vertex.names.PIP                  0.024630819
## nodefactor.vertex.names.PITd                 0.003510729
## nodefactor.vertex.names.PITv                 0.001849827
## nodefactor.vertex.names.PO                   0.040844312
## nodefactor.vertex.names.Ri                  -0.017157336
## nodefactor.vertex.names.SII                  0.045347810
## nodefactor.vertex.names.SMA                  0.045236149
## nodefactor.vertex.names.STPa                 0.031781113
## nodefactor.vertex.names.STPp                 0.028166418
## nodefactor.vertex.names.TF                   0.016588715
## nodefactor.vertex.names.TH                   0.060063188
## nodefactor.vertex.names.V1                   0.026060266
## nodefactor.vertex.names.V2                   0.037978471
## nodefactor.vertex.names.V3                   0.031828639
## nodefactor.vertex.names.V3A                  0.048207038
## nodefactor.vertex.names.V4                   0.069569051
## nodefactor.vertex.names.V4t                  0.028698906
## nodefactor.vertex.names.VIP                  0.039414251
## nodefactor.vertex.names.VOT                  0.027514002
## nodefactor.vertex.names.VP                   0.004976969
##                                nodefactor.vertex.names.6
## edges                                       1.890395e-01
## mutual                                      1.816035e-01
## nodefactor.vertex.names.2                   8.785672e-03
## nodefactor.vertex.names.35                  3.846811e-02
## nodefactor.vertex.names.36                  2.298285e-02
## nodefactor.vertex.names.3a                 -1.804701e-02
## nodefactor.vertex.names.3b                  2.583463e-02
## nodefactor.vertex.names.4                   3.702284e-02
## nodefactor.vertex.names.46                  3.289622e-02
## nodefactor.vertex.names.5                   1.395437e-02
## nodefactor.vertex.names.6                   1.000000e+00
## nodefactor.vertex.names.7a                  3.285082e-02
## nodefactor.vertex.names.7b                  4.984890e-02
## nodefactor.vertex.names.AITd                4.337245e-02
## nodefactor.vertex.names.AITv               -3.132793e-04
## nodefactor.vertex.names.CITd                1.277725e-02
## nodefactor.vertex.names.CITv                3.638684e-02
## nodefactor.vertex.names.DP                  2.659263e-02
## nodefactor.vertex.names.FEF                 2.256877e-03
## nodefactor.vertex.names.FST                 1.985117e-02
## nodefactor.vertex.names.Id                 -3.774506e-04
## nodefactor.vertex.names.Ig                  2.228901e-02
## nodefactor.vertex.names.LIP                -1.935314e-02
## nodefactor.vertex.names.MSTd/p              1.389102e-02
## nodefactor.vertex.names.MSTl               -3.511818e-02
## nodefactor.vertex.names.MT                  4.022291e-02
## nodefactor.vertex.names.PIP                 2.064440e-02
## nodefactor.vertex.names.PITd                4.562501e-03
## nodefactor.vertex.names.PITv                4.078999e-02
## nodefactor.vertex.names.PO                  6.312019e-04
## nodefactor.vertex.names.Ri                 -8.886651e-03
## nodefactor.vertex.names.SII                 2.929320e-02
## nodefactor.vertex.names.SMA                 1.894683e-02
## nodefactor.vertex.names.STPa               -2.526002e-05
## nodefactor.vertex.names.STPp                1.108905e-02
## nodefactor.vertex.names.TF                  1.779527e-02
## nodefactor.vertex.names.TH                  2.335568e-03
## nodefactor.vertex.names.V1                  2.135073e-02
## nodefactor.vertex.names.V2                  1.365302e-02
## nodefactor.vertex.names.V3                  7.270293e-02
## nodefactor.vertex.names.V3A                 1.841663e-02
## nodefactor.vertex.names.V4                  4.089621e-02
## nodefactor.vertex.names.V4t                 4.176663e-02
## nodefactor.vertex.names.VIP                 1.648982e-02
## nodefactor.vertex.names.VOT                -2.946498e-02
## nodefactor.vertex.names.VP                  5.668823e-02
##                                nodefactor.vertex.names.7a
## edges                                        0.2578576602
## mutual                                       0.2537752891
## nodefactor.vertex.names.2                    0.0356370667
## nodefactor.vertex.names.35                   0.0034622284
## nodefactor.vertex.names.36                   0.0445024600
## nodefactor.vertex.names.3a                   0.0186285172
## nodefactor.vertex.names.3b                   0.0032290152
## nodefactor.vertex.names.4                    0.0360782440
## nodefactor.vertex.names.46                   0.0130689782
## nodefactor.vertex.names.5                    0.0577796177
## nodefactor.vertex.names.6                    0.0328508200
## nodefactor.vertex.names.7a                   1.0000000000
## nodefactor.vertex.names.7b                   0.0529672054
## nodefactor.vertex.names.AITd                 0.0566230897
## nodefactor.vertex.names.AITv                 0.0321392501
## nodefactor.vertex.names.CITd                 0.0221021913
## nodefactor.vertex.names.CITv                -0.0220133088
## nodefactor.vertex.names.DP                   0.0207890017
## nodefactor.vertex.names.FEF                  0.0481449543
## nodefactor.vertex.names.FST                  0.0619282431
## nodefactor.vertex.names.Id                   0.0382113769
## nodefactor.vertex.names.Ig                   0.0655670824
## nodefactor.vertex.names.LIP                  0.0368890894
## nodefactor.vertex.names.MSTd/p               0.0656658497
## nodefactor.vertex.names.MSTl                 0.0350956426
## nodefactor.vertex.names.MT                  -0.0239467726
## nodefactor.vertex.names.PIP                  0.0447167295
## nodefactor.vertex.names.PITd                 0.0651723232
## nodefactor.vertex.names.PITv                 0.0383842592
## nodefactor.vertex.names.PO                   0.0395975930
## nodefactor.vertex.names.Ri                   0.0184595147
## nodefactor.vertex.names.SII                  0.0207629961
## nodefactor.vertex.names.SMA                  0.0125789614
## nodefactor.vertex.names.STPa                 0.0009078219
## nodefactor.vertex.names.STPp                 0.0435783789
## nodefactor.vertex.names.TF                   0.0277006883
## nodefactor.vertex.names.TH                   0.0529068829
## nodefactor.vertex.names.V1                   0.0123302031
## nodefactor.vertex.names.V2                   0.0492156596
## nodefactor.vertex.names.V3                   0.0195551776
## nodefactor.vertex.names.V3A                  0.0501460271
## nodefactor.vertex.names.V4                   0.0235020931
## nodefactor.vertex.names.V4t                  0.0284820406
## nodefactor.vertex.names.VIP                  0.0182751708
## nodefactor.vertex.names.VOT                 -0.0033666908
## nodefactor.vertex.names.VP                   0.0732281894
##                                nodefactor.vertex.names.7b
## edges                                         0.238264016
## mutual                                        0.230002961
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## nodefactor.vertex.names.7b                    1.000000000
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## nodefactor.vertex.names.AITv                  0.029764639
## nodefactor.vertex.names.CITd                  0.044838621
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## nodefactor.vertex.names.DP                    0.002341666
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## nodefactor.vertex.names.MSTd/p                0.037670103
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## nodefactor.vertex.names.PITd                 -0.002829883
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## nodefactor.vertex.names.PO                    0.010434040
## nodefactor.vertex.names.Ri                    0.037278304
## nodefactor.vertex.names.SII                   0.047975500
## nodefactor.vertex.names.SMA                   0.016067151
## nodefactor.vertex.names.STPa                  0.004605564
## nodefactor.vertex.names.STPp                  0.007144806
## nodefactor.vertex.names.TF                    0.015490847
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## nodefactor.vertex.names.V2                    0.040336916
## nodefactor.vertex.names.V3                    0.029579637
## nodefactor.vertex.names.V3A                   0.024430909
## nodefactor.vertex.names.V4                    0.020080040
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## nodefactor.vertex.names.VIP                   0.034625087
## nodefactor.vertex.names.VOT                  -0.004659749
## nodefactor.vertex.names.VP                   -0.001101832
##                                nodefactor.vertex.names.AITd
## edges                                          0.1988261494
## mutual                                         0.1799934008
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## nodefactor.vertex.names.AITd                   1.0000000000
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## nodefactor.vertex.names.CITv                   0.0133788949
## nodefactor.vertex.names.DP                     0.0274439525
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## nodefactor.vertex.names.LIP                    0.0283370313
## nodefactor.vertex.names.MSTd/p                 0.0731180154
## nodefactor.vertex.names.MSTl                   0.0075537369
## nodefactor.vertex.names.MT                     0.0333346575
## nodefactor.vertex.names.PIP                   -0.0465735037
## nodefactor.vertex.names.PITd                   0.0154478766
## nodefactor.vertex.names.PITv                   0.0290330663
## nodefactor.vertex.names.PO                     0.0389116517
## nodefactor.vertex.names.Ri                     0.0238840501
## nodefactor.vertex.names.SII                    0.0223079771
## nodefactor.vertex.names.SMA                   -0.0161283511
## nodefactor.vertex.names.STPa                   0.0093957782
## nodefactor.vertex.names.STPp                  -0.0158730322
## nodefactor.vertex.names.TF                     0.0231435385
## nodefactor.vertex.names.TH                    -0.0063138953
## nodefactor.vertex.names.V1                     0.0301758589
## nodefactor.vertex.names.V2                     0.0095688188
## nodefactor.vertex.names.V3                     0.0179376742
## nodefactor.vertex.names.V3A                    0.0213644015
## nodefactor.vertex.names.V4                     0.0430460693
## nodefactor.vertex.names.V4t                   -0.0231898317
## nodefactor.vertex.names.VIP                    0.0328334101
## nodefactor.vertex.names.VOT                    0.0402820301
## nodefactor.vertex.names.VP                     0.0445562096
##                                nodefactor.vertex.names.AITv
## edges                                          0.1866281432
## mutual                                         0.1737955165
## nodefactor.vertex.names.2                      0.0292376526
## nodefactor.vertex.names.35                     0.0007390399
## nodefactor.vertex.names.36                    -0.0163733675
## nodefactor.vertex.names.3a                     0.0257392891
## nodefactor.vertex.names.3b                     0.0390863318
## nodefactor.vertex.names.4                      0.0442519919
## nodefactor.vertex.names.46                     0.0470049418
## nodefactor.vertex.names.5                      0.0448143474
## nodefactor.vertex.names.6                     -0.0003132793
## nodefactor.vertex.names.7a                     0.0321392501
## nodefactor.vertex.names.7b                     0.0297646386
## nodefactor.vertex.names.AITd                   0.0251935581
## nodefactor.vertex.names.AITv                   1.0000000000
## nodefactor.vertex.names.CITd                   0.0013354722
## nodefactor.vertex.names.CITv                   0.0552799536
## nodefactor.vertex.names.DP                     0.0298947903
## nodefactor.vertex.names.FEF                    0.0396017371
## nodefactor.vertex.names.FST                   -0.0024542712
## nodefactor.vertex.names.Id                     0.0123619780
## nodefactor.vertex.names.Ig                     0.0392186974
## nodefactor.vertex.names.LIP                    0.0020965524
## nodefactor.vertex.names.MSTd/p                 0.0217534085
## nodefactor.vertex.names.MSTl                   0.0176458922
## nodefactor.vertex.names.MT                     0.0311545440
## nodefactor.vertex.names.PIP                    0.0098964494
## nodefactor.vertex.names.PITd                   0.0124273581
## nodefactor.vertex.names.PITv                   0.0364843533
## nodefactor.vertex.names.PO                     0.0347669074
## nodefactor.vertex.names.Ri                     0.0064937811
## nodefactor.vertex.names.SII                   -0.0056862988
## nodefactor.vertex.names.SMA                    0.0140367099
## nodefactor.vertex.names.STPa                   0.0151114907
## nodefactor.vertex.names.STPp                  -0.0169406397
## nodefactor.vertex.names.TF                    -0.0054599205
## nodefactor.vertex.names.TH                     0.0427949534
## nodefactor.vertex.names.V1                     0.0490801935
## nodefactor.vertex.names.V2                    -0.0063768252
## nodefactor.vertex.names.V3                     0.0151508138
## nodefactor.vertex.names.V3A                    0.0370175980
## nodefactor.vertex.names.V4                     0.0183458524
## nodefactor.vertex.names.V4t                    0.0480810984
## nodefactor.vertex.names.VIP                    0.0595726505
## nodefactor.vertex.names.VOT                    0.0058508025
## nodefactor.vertex.names.VP                     0.0205507387
##                                nodefactor.vertex.names.CITd
## edges                                          0.1693038914
## mutual                                         0.1553302397
## nodefactor.vertex.names.2                     -0.0062259319
## nodefactor.vertex.names.35                     0.0236898097
## nodefactor.vertex.names.36                     0.0276613589
## nodefactor.vertex.names.3a                     0.0370874427
## nodefactor.vertex.names.3b                     0.0164263933
## nodefactor.vertex.names.4                      0.0634086934
## nodefactor.vertex.names.46                     0.0241247382
## nodefactor.vertex.names.5                      0.0036932526
## nodefactor.vertex.names.6                      0.0127772515
## nodefactor.vertex.names.7a                     0.0221021913
## nodefactor.vertex.names.7b                     0.0448386206
## nodefactor.vertex.names.AITd                   0.0295909724
## nodefactor.vertex.names.AITv                   0.0013354722
## nodefactor.vertex.names.CITd                   1.0000000000
## nodefactor.vertex.names.CITv                   0.0260745998
## nodefactor.vertex.names.DP                    -0.0161097371
## nodefactor.vertex.names.FEF                    0.0394747269
## nodefactor.vertex.names.FST                    0.0171301796
## nodefactor.vertex.names.Id                     0.0394080949
## nodefactor.vertex.names.Ig                     0.0221172740
## nodefactor.vertex.names.LIP                    0.0097605604
## nodefactor.vertex.names.MSTd/p                 0.0205953090
## nodefactor.vertex.names.MSTl                   0.0031133436
## nodefactor.vertex.names.MT                     0.0470309718
## nodefactor.vertex.names.PIP                    0.0190744803
## nodefactor.vertex.names.PITd                   0.0165522651
## nodefactor.vertex.names.PITv                   0.0289375321
## nodefactor.vertex.names.PO                     0.0222342085
## nodefactor.vertex.names.Ri                    -0.0109796290
## nodefactor.vertex.names.SII                   -0.0060269192
## nodefactor.vertex.names.SMA                    0.0243732941
## nodefactor.vertex.names.STPa                  -0.0031265405
## nodefactor.vertex.names.STPp                   0.0209189004
## nodefactor.vertex.names.TF                     0.0408737048
## nodefactor.vertex.names.TH                     0.0137277400
## nodefactor.vertex.names.V1                     0.0192213319
## nodefactor.vertex.names.V2                     0.0327541859
## nodefactor.vertex.names.V3                     0.0145913443
## nodefactor.vertex.names.V3A                    0.0142116324
## nodefactor.vertex.names.V4                     0.0006009402
## nodefactor.vertex.names.V4t                    0.0080606396
## nodefactor.vertex.names.VIP                    0.0243731565
## nodefactor.vertex.names.VOT                    0.0040553070
## nodefactor.vertex.names.VP                     0.0405566960
##                                nodefactor.vertex.names.CITv
## edges                                           0.226351243
## mutual                                          0.210323537
## nodefactor.vertex.names.2                       0.070257838
## nodefactor.vertex.names.35                      0.057735819
## nodefactor.vertex.names.36                      0.016217598
## nodefactor.vertex.names.3a                      0.013614125
## nodefactor.vertex.names.3b                      0.009978622
## nodefactor.vertex.names.4                       0.042753390
## nodefactor.vertex.names.46                      0.031945133
## nodefactor.vertex.names.5                       0.005455826
## nodefactor.vertex.names.6                       0.036386838
## nodefactor.vertex.names.7a                     -0.022013309
## nodefactor.vertex.names.7b                      0.051487742
## nodefactor.vertex.names.AITd                    0.013378895
## nodefactor.vertex.names.AITv                    0.055279954
## nodefactor.vertex.names.CITd                    0.026074600
## nodefactor.vertex.names.CITv                    1.000000000
## nodefactor.vertex.names.DP                      0.021174922
## nodefactor.vertex.names.FEF                     0.036965700
## nodefactor.vertex.names.FST                     0.047313300
## nodefactor.vertex.names.Id                      0.010072551
## nodefactor.vertex.names.Ig                      0.057816742
## nodefactor.vertex.names.LIP                     0.032808589
## nodefactor.vertex.names.MSTd/p                  0.047094516
## nodefactor.vertex.names.MSTl                    0.027089051
## nodefactor.vertex.names.MT                      0.070403223
## nodefactor.vertex.names.PIP                     0.076721157
## nodefactor.vertex.names.PITd                    0.015596957
## nodefactor.vertex.names.PITv                    0.011023616
## nodefactor.vertex.names.PO                      0.025160884
## nodefactor.vertex.names.Ri                      0.024374059
## nodefactor.vertex.names.SII                     0.021476250
## nodefactor.vertex.names.SMA                     0.015758612
## nodefactor.vertex.names.STPa                   -0.021374280
## nodefactor.vertex.names.STPp                   -0.001128565
## nodefactor.vertex.names.TF                      0.015092946
## nodefactor.vertex.names.TH                      0.024134980
## nodefactor.vertex.names.V1                      0.003525018
## nodefactor.vertex.names.V2                      0.033277319
## nodefactor.vertex.names.V3                      0.036409072
## nodefactor.vertex.names.V3A                     0.042006594
## nodefactor.vertex.names.V4                      0.017031952
## nodefactor.vertex.names.V4t                     0.029934375
## nodefactor.vertex.names.VIP                     0.029881688
## nodefactor.vertex.names.VOT                    -0.042032004
## nodefactor.vertex.names.VP                      0.053051025
##                                nodefactor.vertex.names.DP
## edges                                         0.214269532
## mutual                                        0.199493443
## nodefactor.vertex.names.2                     0.042320936
## nodefactor.vertex.names.35                    0.034755235
## nodefactor.vertex.names.36                    0.005098723
## nodefactor.vertex.names.3a                    0.018328691
## nodefactor.vertex.names.3b                    0.001167804
## nodefactor.vertex.names.4                     0.029746971
## nodefactor.vertex.names.46                    0.030162538
## nodefactor.vertex.names.5                     0.036805260
## nodefactor.vertex.names.6                     0.026592627
## nodefactor.vertex.names.7a                    0.020789002
## nodefactor.vertex.names.7b                    0.002341666
## nodefactor.vertex.names.AITd                  0.027443952
## nodefactor.vertex.names.AITv                  0.029894790
## nodefactor.vertex.names.CITd                 -0.016109737
## nodefactor.vertex.names.CITv                  0.021174922
## nodefactor.vertex.names.DP                    1.000000000
## nodefactor.vertex.names.FEF                   0.016556696
## nodefactor.vertex.names.FST                   0.049193663
## nodefactor.vertex.names.Id                    0.016448171
## nodefactor.vertex.names.Ig                    0.015925123
## nodefactor.vertex.names.LIP                   0.039602325
## nodefactor.vertex.names.MSTd/p                0.023959736
## nodefactor.vertex.names.MSTl                  0.041228768
## nodefactor.vertex.names.MT                    0.032020851
## nodefactor.vertex.names.PIP                   0.017532615
## nodefactor.vertex.names.PITd                  0.039618497
## nodefactor.vertex.names.PITv                  0.062089824
## nodefactor.vertex.names.PO                    0.021336785
## nodefactor.vertex.names.Ri                    0.015735318
## nodefactor.vertex.names.SII                   0.025778383
## nodefactor.vertex.names.SMA                   0.019848239
## nodefactor.vertex.names.STPa                  0.040119773
## nodefactor.vertex.names.STPp                 -0.003433752
## nodefactor.vertex.names.TF                    0.005021885
## nodefactor.vertex.names.TH                    0.027980063
## nodefactor.vertex.names.V1                    0.055797950
## nodefactor.vertex.names.V2                    0.003345271
## nodefactor.vertex.names.V3                   -0.013740326
## nodefactor.vertex.names.V3A                   0.056408657
## nodefactor.vertex.names.V4                    0.025125509
## nodefactor.vertex.names.V4t                   0.046359678
## nodefactor.vertex.names.VIP                   0.052129666
## nodefactor.vertex.names.VOT                   0.029972165
## nodefactor.vertex.names.VP                    0.003339627
##                                nodefactor.vertex.names.FEF
## edges                                          0.271730848
## mutual                                         0.273712116
## nodefactor.vertex.names.2                      0.018597795
## nodefactor.vertex.names.35                     0.039311520
## nodefactor.vertex.names.36                     0.063522807
## nodefactor.vertex.names.3a                     0.057722537
## nodefactor.vertex.names.3b                     0.021967574
## nodefactor.vertex.names.4                      0.023821387
## nodefactor.vertex.names.46                     0.014094118
## nodefactor.vertex.names.5                      0.064190590
## nodefactor.vertex.names.6                      0.002256877
## nodefactor.vertex.names.7a                     0.048144954
## nodefactor.vertex.names.7b                     0.058047672
## nodefactor.vertex.names.AITd                   0.033310213
## nodefactor.vertex.names.AITv                   0.039601737
## nodefactor.vertex.names.CITd                   0.039474727
## nodefactor.vertex.names.CITv                   0.036965700
## nodefactor.vertex.names.DP                     0.016556696
## nodefactor.vertex.names.FEF                    1.000000000
## nodefactor.vertex.names.FST                    0.038889693
## nodefactor.vertex.names.Id                     0.022866795
## nodefactor.vertex.names.Ig                     0.051559183
## nodefactor.vertex.names.LIP                    0.002226447
## nodefactor.vertex.names.MSTd/p                 0.047170395
## nodefactor.vertex.names.MSTl                   0.035292943
## nodefactor.vertex.names.MT                     0.018372995
## nodefactor.vertex.names.PIP                    0.025355955
## nodefactor.vertex.names.PITd                   0.009732078
## nodefactor.vertex.names.PITv                   0.053014889
## nodefactor.vertex.names.PO                     0.018166830
## nodefactor.vertex.names.Ri                     0.018538926
## nodefactor.vertex.names.SII                    0.063982298
## nodefactor.vertex.names.SMA                    0.031434407
## nodefactor.vertex.names.STPa                  -0.001053696
## nodefactor.vertex.names.STPp                   0.048409063
## nodefactor.vertex.names.TF                     0.050251709
## nodefactor.vertex.names.TH                     0.051057691
## nodefactor.vertex.names.V1                     0.004035564
## nodefactor.vertex.names.V2                     0.042770974
## nodefactor.vertex.names.V3                     0.059039580
## nodefactor.vertex.names.V3A                    0.013139409
## nodefactor.vertex.names.V4                     0.014100952
## nodefactor.vertex.names.V4t                    0.031597631
## nodefactor.vertex.names.VIP                    0.029630988
## nodefactor.vertex.names.VOT                    0.046237462
## nodefactor.vertex.names.VP                     0.035378401
##                                nodefactor.vertex.names.FST
## edges                                          0.249116789
## mutual                                         0.248409811
## nodefactor.vertex.names.2                      0.015453052
## nodefactor.vertex.names.35                     0.021547500
## nodefactor.vertex.names.36                     0.003087465
## nodefactor.vertex.names.3a                     0.026617376
## nodefactor.vertex.names.3b                     0.031876687
## nodefactor.vertex.names.4                      0.012831291
## nodefactor.vertex.names.46                     0.025029361
## nodefactor.vertex.names.5                      0.033707132
## nodefactor.vertex.names.6                      0.019851167
## nodefactor.vertex.names.7a                     0.061928243
## nodefactor.vertex.names.7b                     0.021093930
## nodefactor.vertex.names.AITd                   0.031019912
## nodefactor.vertex.names.AITv                  -0.002454271
## nodefactor.vertex.names.CITd                   0.017130180
## nodefactor.vertex.names.CITv                   0.047313300
## nodefactor.vertex.names.DP                     0.049193663
## nodefactor.vertex.names.FEF                    0.038889693
## nodefactor.vertex.names.FST                    1.000000000
## nodefactor.vertex.names.Id                     0.039980980
## nodefactor.vertex.names.Ig                     0.055039038
## nodefactor.vertex.names.LIP                    0.034050462
## nodefactor.vertex.names.MSTd/p                 0.055691328
## nodefactor.vertex.names.MSTl                   0.017432017
## nodefactor.vertex.names.MT                     0.019160789
## nodefactor.vertex.names.PIP                    0.026845127
## nodefactor.vertex.names.PITd                   0.035851099
## nodefactor.vertex.names.PITv                   0.043841621
## nodefactor.vertex.names.PO                     0.046031849
## nodefactor.vertex.names.Ri                     0.019057308
## nodefactor.vertex.names.SII                    0.022653250
## nodefactor.vertex.names.SMA                    0.016191750
## nodefactor.vertex.names.STPa                   0.021785756
## nodefactor.vertex.names.STPp                   0.031475981
## nodefactor.vertex.names.TF                     0.004285680
## nodefactor.vertex.names.TH                     0.051108829
## nodefactor.vertex.names.V1                     0.018919171
## nodefactor.vertex.names.V2                     0.044945174
## nodefactor.vertex.names.V3                     0.010598296
## nodefactor.vertex.names.V3A                    0.005878882
## nodefactor.vertex.names.V4                     0.033831188
## nodefactor.vertex.names.V4t                    0.055176570
## nodefactor.vertex.names.VIP                    0.018560004
## nodefactor.vertex.names.VOT                    0.021097262
## nodefactor.vertex.names.VP                     0.016520896
##                                nodefactor.vertex.names.Id
## edges                                        0.1414784855
## mutual                                       0.1290751125
## nodefactor.vertex.names.2                   -0.0071300602
## nodefactor.vertex.names.35                  -0.0050942532
## nodefactor.vertex.names.36                   0.0084783401
## nodefactor.vertex.names.3a                   0.0282683153
## nodefactor.vertex.names.3b                   0.0174962010
## nodefactor.vertex.names.4                    0.0032511625
## nodefactor.vertex.names.46                   0.0342980971
## nodefactor.vertex.names.5                   -0.0040977761
## nodefactor.vertex.names.6                   -0.0003774506
## nodefactor.vertex.names.7a                   0.0382113769
## nodefactor.vertex.names.7b                   0.0271214457
## nodefactor.vertex.names.AITd                -0.0014667650
## nodefactor.vertex.names.AITv                 0.0123619780
## nodefactor.vertex.names.CITd                 0.0394080949
## nodefactor.vertex.names.CITv                 0.0100725510
## nodefactor.vertex.names.DP                   0.0164481714
## nodefactor.vertex.names.FEF                  0.0228667951
## nodefactor.vertex.names.FST                  0.0399809799
## nodefactor.vertex.names.Id                   1.0000000000
## nodefactor.vertex.names.Ig                   0.0517040522
## nodefactor.vertex.names.LIP                  0.0528858328
## nodefactor.vertex.names.MSTd/p               0.0254256076
## nodefactor.vertex.names.MSTl                -0.0053982095
## nodefactor.vertex.names.MT                   0.0287567254
## nodefactor.vertex.names.PIP                 -0.0051167691
## nodefactor.vertex.names.PITd                -0.0331507956
## nodefactor.vertex.names.PITv                -0.0019638851
## nodefactor.vertex.names.PO                   0.0188524745
## nodefactor.vertex.names.Ri                  -0.0148746879
## nodefactor.vertex.names.SII                  0.0264399455
## nodefactor.vertex.names.SMA                  0.0018206533
## nodefactor.vertex.names.STPa                -0.0102977914
## nodefactor.vertex.names.STPp                -0.0042137636
## nodefactor.vertex.names.TF                   0.0091483081
## nodefactor.vertex.names.TH                   0.0290013042
## nodefactor.vertex.names.V1                   0.0374226970
## nodefactor.vertex.names.V2                   0.0141527713
## nodefactor.vertex.names.V3                   0.0118226586
## nodefactor.vertex.names.V3A                  0.0321443989
## nodefactor.vertex.names.V4                   0.0227357521
## nodefactor.vertex.names.V4t                  0.0309633841
## nodefactor.vertex.names.VIP                  0.0070032109
## nodefactor.vertex.names.VOT                 -0.0107834226
## nodefactor.vertex.names.VP                   0.0175348859
##                                nodefactor.vertex.names.Ig
## edges                                        0.2072039528
## mutual                                       0.1897621764
## nodefactor.vertex.names.2                    0.0073242572
## nodefactor.vertex.names.35                  -0.0151207848
## nodefactor.vertex.names.36                   0.0124160912
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## nodefactor.vertex.names.46                   0.0305409003
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## nodefactor.vertex.names.7a                   0.0655670824
## nodefactor.vertex.names.7b                   0.0331783580
## nodefactor.vertex.names.AITd                 0.0345365066
## nodefactor.vertex.names.AITv                 0.0392186974
## nodefactor.vertex.names.CITd                 0.0221172740
## nodefactor.vertex.names.CITv                 0.0578167421
## nodefactor.vertex.names.DP                   0.0159251226
## nodefactor.vertex.names.FEF                  0.0515591832
## nodefactor.vertex.names.FST                  0.0550390384
## nodefactor.vertex.names.Id                   0.0517040522
## nodefactor.vertex.names.Ig                   1.0000000000
## nodefactor.vertex.names.LIP                  0.0402655493
## nodefactor.vertex.names.MSTd/p               0.0629573536
## nodefactor.vertex.names.MSTl                 0.0248577813
## nodefactor.vertex.names.MT                   0.0641888518
## nodefactor.vertex.names.PIP                  0.0278140173
## nodefactor.vertex.names.PITd                 0.0064992033
## nodefactor.vertex.names.PITv                 0.0105300252
## nodefactor.vertex.names.PO                   0.0247266890
## nodefactor.vertex.names.Ri                  -0.0012170811
## nodefactor.vertex.names.SII                  0.0087417474
## nodefactor.vertex.names.SMA                  0.0160192225
## nodefactor.vertex.names.STPa                 0.0115333749
## nodefactor.vertex.names.STPp                -0.0065247024
## nodefactor.vertex.names.TF                   0.0447955969
## nodefactor.vertex.names.TH                   0.0450669042
## nodefactor.vertex.names.V1                   0.0091107864
## nodefactor.vertex.names.V2                   0.0372591680
## nodefactor.vertex.names.V3                   0.0004386472
## nodefactor.vertex.names.V3A                  0.0334752356
## nodefactor.vertex.names.V4                   0.0380723914
## nodefactor.vertex.names.V4t                  0.0214151344
## nodefactor.vertex.names.VIP                  0.0404425813
## nodefactor.vertex.names.VOT                 -0.0343215406
## nodefactor.vertex.names.VP                   0.0433941206
##                                nodefactor.vertex.names.LIP
## edges                                         0.2335749168
## mutual                                        0.2370474193
## nodefactor.vertex.names.2                     0.0329509613
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## nodefactor.vertex.names.36                    0.0148105546
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## nodefactor.vertex.names.3b                   -0.0092553180
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## nodefactor.vertex.names.7a                    0.0368890894
## nodefactor.vertex.names.7b                    0.0571782673
## nodefactor.vertex.names.AITd                  0.0283370313
## nodefactor.vertex.names.AITv                  0.0020965524
## nodefactor.vertex.names.CITd                  0.0097605604
## nodefactor.vertex.names.CITv                  0.0328085895
## nodefactor.vertex.names.DP                    0.0396023250
## nodefactor.vertex.names.FEF                   0.0022264468
## nodefactor.vertex.names.FST                   0.0340504620
## nodefactor.vertex.names.Id                    0.0528858328
## nodefactor.vertex.names.Ig                    0.0402655493
## nodefactor.vertex.names.LIP                   1.0000000000
## nodefactor.vertex.names.MSTd/p                0.0724783249
## nodefactor.vertex.names.MSTl                  0.0253084685
## nodefactor.vertex.names.MT                    0.0472259806
## nodefactor.vertex.names.PIP                  -0.0124488523
## nodefactor.vertex.names.PITd                  0.0529913377
## nodefactor.vertex.names.PITv                  0.0106385369
## nodefactor.vertex.names.PO                    0.0217020762
## nodefactor.vertex.names.Ri                    0.0221404571
## nodefactor.vertex.names.SII                  -0.0137616283
## nodefactor.vertex.names.SMA                   0.0526117515
## nodefactor.vertex.names.STPa                  0.0263060114
## nodefactor.vertex.names.STPp                  0.0091823539
## nodefactor.vertex.names.TF                    0.0336882903
## nodefactor.vertex.names.TH                    0.0218809915
## nodefactor.vertex.names.V1                    0.0316821205
## nodefactor.vertex.names.V2                    0.0409091657
## nodefactor.vertex.names.V3                    0.0030923672
## nodefactor.vertex.names.V3A                   0.0311623576
## nodefactor.vertex.names.V4                    0.0211408466
## nodefactor.vertex.names.V4t                   0.0459546787
## nodefactor.vertex.names.VIP                   0.0157659147
## nodefactor.vertex.names.VOT                   0.0003774673
## nodefactor.vertex.names.VP                   -0.0003976271
##                                nodefactor.vertex.names.MSTd/p
## edges                                             0.282359613
## mutual                                            0.287496759
## nodefactor.vertex.names.2                         0.067075411
## nodefactor.vertex.names.35                        0.045100771
## nodefactor.vertex.names.36                        0.025883626
## nodefactor.vertex.names.3a                        0.051662560
## nodefactor.vertex.names.3b                        0.025369060
## nodefactor.vertex.names.4                         0.032552516
## nodefactor.vertex.names.46                        0.042129590
## nodefactor.vertex.names.5                         0.101371696
## nodefactor.vertex.names.6                         0.013891023
## nodefactor.vertex.names.7a                        0.065665850
## nodefactor.vertex.names.7b                        0.037670103
## nodefactor.vertex.names.AITd                      0.073118015
## nodefactor.vertex.names.AITv                      0.021753409
## nodefactor.vertex.names.CITd                      0.020595309
## nodefactor.vertex.names.CITv                      0.047094516
## nodefactor.vertex.names.DP                        0.023959736
## nodefactor.vertex.names.FEF                       0.047170395
## nodefactor.vertex.names.FST                       0.055691328
## nodefactor.vertex.names.Id                        0.025425608
## nodefactor.vertex.names.Ig                        0.062957354
## nodefactor.vertex.names.LIP                       0.072478325
## nodefactor.vertex.names.MSTd/p                    1.000000000
## nodefactor.vertex.names.MSTl                      0.073702778
## nodefactor.vertex.names.MT                        0.024748720
## nodefactor.vertex.names.PIP                       0.056343336
## nodefactor.vertex.names.PITd                      0.030381025
## nodefactor.vertex.names.PITv                      0.043681329
## nodefactor.vertex.names.PO                        0.006334947
## nodefactor.vertex.names.Ri                       -0.017672237
## nodefactor.vertex.names.SII                       0.014846039
## nodefactor.vertex.names.SMA                       0.066292514
## nodefactor.vertex.names.STPa                      0.007014267
## nodefactor.vertex.names.STPp                      0.038707401
## nodefactor.vertex.names.TF                        0.027507901
## nodefactor.vertex.names.TH                        0.033632585
## nodefactor.vertex.names.V1                       -0.004758271
## nodefactor.vertex.names.V2                        0.023958605
## nodefactor.vertex.names.V3                        0.028114681
## nodefactor.vertex.names.V3A                       0.001196574
## nodefactor.vertex.names.V4                        0.041885062
## nodefactor.vertex.names.V4t                       0.053778863
## nodefactor.vertex.names.VIP                       0.009657973
## nodefactor.vertex.names.VOT                      -0.001401485
## nodefactor.vertex.names.VP                        0.001898330
##                                nodefactor.vertex.names.MSTl
## edges                                          0.2296481467
## mutual                                         0.2241940971
## nodefactor.vertex.names.2                      0.0814683134
## nodefactor.vertex.names.35                     0.0465300589
## nodefactor.vertex.names.36                     0.0005228812
## nodefactor.vertex.names.3a                     0.0218788163
## nodefactor.vertex.names.3b                     0.0171721392
## nodefactor.vertex.names.4                      0.0604812356
## nodefactor.vertex.names.46                     0.0179463652
## nodefactor.vertex.names.5                      0.0617348254
## nodefactor.vertex.names.6                     -0.0351181807
## nodefactor.vertex.names.7a                     0.0350956426
## nodefactor.vertex.names.7b                     0.0321476115
## nodefactor.vertex.names.AITd                   0.0075537369
## nodefactor.vertex.names.AITv                   0.0176458922
## nodefactor.vertex.names.CITd                   0.0031133436
## nodefactor.vertex.names.CITv                   0.0270890508
## nodefactor.vertex.names.DP                     0.0412287676
## nodefactor.vertex.names.FEF                    0.0352929428
## nodefactor.vertex.names.FST                    0.0174320169
## nodefactor.vertex.names.Id                    -0.0053982095
## nodefactor.vertex.names.Ig                     0.0248577813
## nodefactor.vertex.names.LIP                    0.0253084685
## nodefactor.vertex.names.MSTd/p                 0.0737027777
## nodefactor.vertex.names.MSTl                   1.0000000000
## nodefactor.vertex.names.MT                     0.0495178487
## nodefactor.vertex.names.PIP                    0.0066796551
## nodefactor.vertex.names.PITd                   0.0254412256
## nodefactor.vertex.names.PITv                   0.0714546074
## nodefactor.vertex.names.PO                    -0.0042188684
## nodefactor.vertex.names.Ri                     0.0067041728
## nodefactor.vertex.names.SII                   -0.0061596654
## nodefactor.vertex.names.SMA                    0.0064044424
## nodefactor.vertex.names.STPa                  -0.0202412268
## nodefactor.vertex.names.STPp                   0.0510458694
## nodefactor.vertex.names.TF                     0.0289426154
## nodefactor.vertex.names.TH                     0.0460996632
## nodefactor.vertex.names.V1                     0.0286023483
## nodefactor.vertex.names.V2                     0.0722031895
## nodefactor.vertex.names.V3                     0.0159978640
## nodefactor.vertex.names.V3A                    0.0475815032
## nodefactor.vertex.names.V4                     0.0240925792
## nodefactor.vertex.names.V4t                    0.0152321339
## nodefactor.vertex.names.VIP                    0.0563880104
## nodefactor.vertex.names.VOT                   -0.0008206584
## nodefactor.vertex.names.VP                     0.0703668959
##                                nodefactor.vertex.names.MT
## edges                                          0.27632584
## mutual                                         0.26764386
## nodefactor.vertex.names.2                      0.04037978
## nodefactor.vertex.names.35                     0.01874478
## nodefactor.vertex.names.36                     0.02984065
## nodefactor.vertex.names.3a                     0.03850402
## nodefactor.vertex.names.3b                     0.01312993
## nodefactor.vertex.names.4                      0.04515123
## nodefactor.vertex.names.46                     0.03367617
## nodefactor.vertex.names.5                      0.04163278
## nodefactor.vertex.names.6                      0.04022291
## nodefactor.vertex.names.7a                    -0.02394677
## nodefactor.vertex.names.7b                     0.06476624
## nodefactor.vertex.names.AITd                   0.03333466
## nodefactor.vertex.names.AITv                   0.03115454
## nodefactor.vertex.names.CITd                   0.04703097
## nodefactor.vertex.names.CITv                   0.07040322
## nodefactor.vertex.names.DP                     0.03202085
## nodefactor.vertex.names.FEF                    0.01837299
## nodefactor.vertex.names.FST                    0.01916079
## nodefactor.vertex.names.Id                     0.02875673
## nodefactor.vertex.names.Ig                     0.06418885
## nodefactor.vertex.names.LIP                    0.04722598
## nodefactor.vertex.names.MSTd/p                 0.02474872
## nodefactor.vertex.names.MSTl                   0.04951785
## nodefactor.vertex.names.MT                     1.00000000
## nodefactor.vertex.names.PIP                    0.03197002
## nodefactor.vertex.names.PITd                   0.03784663
## nodefactor.vertex.names.PITv                   0.04733374
## nodefactor.vertex.names.PO                     0.01343664
## nodefactor.vertex.names.Ri                     0.02009542
## nodefactor.vertex.names.SII                    0.02355429
## nodefactor.vertex.names.SMA                    0.06216053
## nodefactor.vertex.names.STPa                   0.03451682
## nodefactor.vertex.names.STPp                   0.01036020
## nodefactor.vertex.names.TF                     0.04205491
## nodefactor.vertex.names.TH                     0.05644461
## nodefactor.vertex.names.V1                     0.03391665
## nodefactor.vertex.names.V2                     0.02338770
## nodefactor.vertex.names.V3                     0.04152034
## nodefactor.vertex.names.V3A                    0.08457734
## nodefactor.vertex.names.V4                    -0.01932884
## nodefactor.vertex.names.V4t                    0.04579866
## nodefactor.vertex.names.VIP                    0.04255086
## nodefactor.vertex.names.VOT                    0.01704065
## nodefactor.vertex.names.VP                     0.04423272
##                                nodefactor.vertex.names.PIP
## edges                                         0.1850880512
## mutual                                        0.1832836068
## nodefactor.vertex.names.2                     0.0253822858
## nodefactor.vertex.names.35                   -0.0096842376
## nodefactor.vertex.names.36                    0.0093162515
## nodefactor.vertex.names.3a                   -0.0068200625
## nodefactor.vertex.names.3b                   -0.0187463117
## nodefactor.vertex.names.4                     0.0354936160
## nodefactor.vertex.names.46                   -0.0157433284
## nodefactor.vertex.names.5                     0.0246308186
## nodefactor.vertex.names.6                     0.0206443956
## nodefactor.vertex.names.7a                    0.0447167295
## nodefactor.vertex.names.7b                    0.0281603410
## nodefactor.vertex.names.AITd                 -0.0465735037
## nodefactor.vertex.names.AITv                  0.0098964494
## nodefactor.vertex.names.CITd                  0.0190744803
## nodefactor.vertex.names.CITv                  0.0767211574
## nodefactor.vertex.names.DP                    0.0175326153
## nodefactor.vertex.names.FEF                   0.0253559545
## nodefactor.vertex.names.FST                   0.0268451267
## nodefactor.vertex.names.Id                   -0.0051167691
## nodefactor.vertex.names.Ig                    0.0278140173
## nodefactor.vertex.names.LIP                  -0.0124488523
## nodefactor.vertex.names.MSTd/p                0.0563433359
## nodefactor.vertex.names.MSTl                  0.0066796551
## nodefactor.vertex.names.MT                    0.0319700163
## nodefactor.vertex.names.PIP                   1.0000000000
## nodefactor.vertex.names.PITd                  0.0160313793
## nodefactor.vertex.names.PITv                  0.0337810259
## nodefactor.vertex.names.PO                    0.0243412216
## nodefactor.vertex.names.Ri                    0.0009810606
## nodefactor.vertex.names.SII                   0.0626275603
## nodefactor.vertex.names.SMA                   0.0520225560
## nodefactor.vertex.names.STPa                  0.0146206427
## nodefactor.vertex.names.STPp                  0.0107668148
## nodefactor.vertex.names.TF                    0.0180688546
## nodefactor.vertex.names.TH                    0.0070492289
## nodefactor.vertex.names.V1                    0.0033203266
## nodefactor.vertex.names.V2                    0.0484880504
## nodefactor.vertex.names.V3                    0.0298114956
## nodefactor.vertex.names.V3A                   0.0213460572
## nodefactor.vertex.names.V4                    0.0001634708
## nodefactor.vertex.names.V4t                   0.0213900584
## nodefactor.vertex.names.VIP                   0.0325647207
## nodefactor.vertex.names.VOT                  -0.0330698379
## nodefactor.vertex.names.VP                    0.0262845340
##                                nodefactor.vertex.names.PITd
## edges                                           0.190786595
## mutual                                          0.180300725
## nodefactor.vertex.names.2                       0.037218723
## nodefactor.vertex.names.35                      0.026769368
## nodefactor.vertex.names.36                      0.019964592
## nodefactor.vertex.names.3a                      0.008289753
## nodefactor.vertex.names.3b                      0.028932939
## nodefactor.vertex.names.4                       0.007942612
## nodefactor.vertex.names.46                      0.041948909
## nodefactor.vertex.names.5                       0.003510729
## nodefactor.vertex.names.6                       0.004562501
## nodefactor.vertex.names.7a                      0.065172323
## nodefactor.vertex.names.7b                     -0.002829883
## nodefactor.vertex.names.AITd                    0.015447877
## nodefactor.vertex.names.AITv                    0.012427358
## nodefactor.vertex.names.CITd                    0.016552265
## nodefactor.vertex.names.CITv                    0.015596957
## nodefactor.vertex.names.DP                      0.039618497
## nodefactor.vertex.names.FEF                     0.009732078
## nodefactor.vertex.names.FST                     0.035851099
## nodefactor.vertex.names.Id                     -0.033150796
## nodefactor.vertex.names.Ig                      0.006499203
## nodefactor.vertex.names.LIP                     0.052991338
## nodefactor.vertex.names.MSTd/p                  0.030381025
## nodefactor.vertex.names.MSTl                    0.025441226
## nodefactor.vertex.names.MT                      0.037846631
## nodefactor.vertex.names.PIP                     0.016031379
## nodefactor.vertex.names.PITd                    1.000000000
## nodefactor.vertex.names.PITv                    0.027962057
## nodefactor.vertex.names.PO                      0.021452423
## nodefactor.vertex.names.Ri                      0.009154592
## nodefactor.vertex.names.SII                     0.023220606
## nodefactor.vertex.names.SMA                     0.055353264
## nodefactor.vertex.names.STPa                   -0.018708768
## nodefactor.vertex.names.STPp                    0.024887034
## nodefactor.vertex.names.TF                      0.021788875
## nodefactor.vertex.names.TH                      0.004366739
## nodefactor.vertex.names.V1                     -0.009218566
## nodefactor.vertex.names.V2                      0.051543204
## nodefactor.vertex.names.V3                      0.041359083
## nodefactor.vertex.names.V3A                     0.024981425
## nodefactor.vertex.names.V4                      0.043588013
## nodefactor.vertex.names.V4t                    -0.010829238
## nodefactor.vertex.names.VIP                     0.026608727
## nodefactor.vertex.names.VOT                     0.018873997
## nodefactor.vertex.names.VP                      0.028459783
##                                nodefactor.vertex.names.PITv
## edges                                           0.234710868
## mutual                                          0.225375382
## nodefactor.vertex.names.2                      -0.023022865
## nodefactor.vertex.names.35                      0.018196752
## nodefactor.vertex.names.36                      0.028771556
## nodefactor.vertex.names.3a                      0.018309997
## nodefactor.vertex.names.3b                      0.024346777
## nodefactor.vertex.names.4                       0.049628690
## nodefactor.vertex.names.46                      0.039586664
## nodefactor.vertex.names.5                       0.001849827
## nodefactor.vertex.names.6                       0.040789994
## nodefactor.vertex.names.7a                      0.038384259
## nodefactor.vertex.names.7b                      0.053311542
## nodefactor.vertex.names.AITd                    0.029033066
## nodefactor.vertex.names.AITv                    0.036484353
## nodefactor.vertex.names.CITd                    0.028937532
## nodefactor.vertex.names.CITv                    0.011023616
## nodefactor.vertex.names.DP                      0.062089824
## nodefactor.vertex.names.FEF                     0.053014889
## nodefactor.vertex.names.FST                     0.043841621
## nodefactor.vertex.names.Id                     -0.001963885
## nodefactor.vertex.names.Ig                      0.010530025
## nodefactor.vertex.names.LIP                     0.010638537
## nodefactor.vertex.names.MSTd/p                  0.043681329
## nodefactor.vertex.names.MSTl                    0.071454607
## nodefactor.vertex.names.MT                      0.047333740
## nodefactor.vertex.names.PIP                     0.033781026
## nodefactor.vertex.names.PITd                    0.027962057
## nodefactor.vertex.names.PITv                    1.000000000
## nodefactor.vertex.names.PO                      0.078361165
## nodefactor.vertex.names.Ri                      0.005838282
## nodefactor.vertex.names.SII                     0.042212513
## nodefactor.vertex.names.SMA                     0.071046765
## nodefactor.vertex.names.STPa                   -0.022790192
## nodefactor.vertex.names.STPp                    0.015443692
## nodefactor.vertex.names.TF                      0.006598954
## nodefactor.vertex.names.TH                      0.009562809
## nodefactor.vertex.names.V1                     -0.010930584
## nodefactor.vertex.names.V2                      0.026199372
## nodefactor.vertex.names.V3                      0.022519289
## nodefactor.vertex.names.V3A                     0.020706747
## nodefactor.vertex.names.V4                      0.063433429
## nodefactor.vertex.names.V4t                     0.037679228
## nodefactor.vertex.names.VIP                     0.018063263
## nodefactor.vertex.names.VOT                    -0.023077359
## nodefactor.vertex.names.VP                      0.006111454
##                                nodefactor.vertex.names.PO
## edges                                        0.2144851170
## mutual                                       0.2107027249
## nodefactor.vertex.names.2                    0.0354146136
## nodefactor.vertex.names.35                   0.0386805405
## nodefactor.vertex.names.36                   0.0284690804
## nodefactor.vertex.names.3a                   0.0283421406
## nodefactor.vertex.names.3b                   0.0462071006
## nodefactor.vertex.names.4                   -0.0232798804
## nodefactor.vertex.names.46                  -0.0205260052
## nodefactor.vertex.names.5                    0.0408443122
## nodefactor.vertex.names.6                    0.0006312019
## nodefactor.vertex.names.7a                   0.0395975930
## nodefactor.vertex.names.7b                   0.0104340401
## nodefactor.vertex.names.AITd                 0.0389116517
## nodefactor.vertex.names.AITv                 0.0347669074
## nodefactor.vertex.names.CITd                 0.0222342085
## nodefactor.vertex.names.CITv                 0.0251608836
## nodefactor.vertex.names.DP                   0.0213367849
## nodefactor.vertex.names.FEF                  0.0181668303
## nodefactor.vertex.names.FST                  0.0460318490
## nodefactor.vertex.names.Id                   0.0188524745
## nodefactor.vertex.names.Ig                   0.0247266890
## nodefactor.vertex.names.LIP                  0.0217020762
## nodefactor.vertex.names.MSTd/p               0.0063349466
## nodefactor.vertex.names.MSTl                -0.0042188684
## nodefactor.vertex.names.MT                   0.0134366426
## nodefactor.vertex.names.PIP                  0.0243412216
## nodefactor.vertex.names.PITd                 0.0214524231
## nodefactor.vertex.names.PITv                 0.0783611647
## nodefactor.vertex.names.PO                   1.0000000000
## nodefactor.vertex.names.Ri                  -0.0230916985
## nodefactor.vertex.names.SII                  0.0332244125
## nodefactor.vertex.names.SMA                  0.0299844867
## nodefactor.vertex.names.STPa                 0.0023318884
## nodefactor.vertex.names.STPp                 0.0552072132
## nodefactor.vertex.names.TF                   0.0310215662
## nodefactor.vertex.names.TH                   0.0294954478
## nodefactor.vertex.names.V1                   0.0354032376
## nodefactor.vertex.names.V2                   0.0446521205
## nodefactor.vertex.names.V3                  -0.0300127372
## nodefactor.vertex.names.V3A                 -0.0087508130
## nodefactor.vertex.names.V4                   0.0057444195
## nodefactor.vertex.names.V4t                 -0.0038899494
## nodefactor.vertex.names.VIP                  0.0286522218
## nodefactor.vertex.names.VOT                 -0.0024033934
## nodefactor.vertex.names.VP                   0.0121011485
##                                nodefactor.vertex.names.Ri
## edges                                        0.1185407350
## mutual                                       0.1034656428
## nodefactor.vertex.names.2                   -0.0130141225
## nodefactor.vertex.names.35                  -0.0106520204
## nodefactor.vertex.names.36                   0.0150131846
## nodefactor.vertex.names.3a                   0.0369862105
## nodefactor.vertex.names.3b                  -0.0262287485
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## nodefactor.vertex.names.5                   -0.0171573363
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## nodefactor.vertex.names.7a                   0.0184595147
## nodefactor.vertex.names.7b                   0.0372783041
## nodefactor.vertex.names.AITd                 0.0238840501
## nodefactor.vertex.names.AITv                 0.0064937811
## nodefactor.vertex.names.CITd                -0.0109796290
## nodefactor.vertex.names.CITv                 0.0243740588
## nodefactor.vertex.names.DP                   0.0157353182
## nodefactor.vertex.names.FEF                  0.0185389260
## nodefactor.vertex.names.FST                  0.0190573084
## nodefactor.vertex.names.Id                  -0.0148746879
## nodefactor.vertex.names.Ig                  -0.0012170811
## nodefactor.vertex.names.LIP                  0.0221404571
## nodefactor.vertex.names.MSTd/p              -0.0176722369
## nodefactor.vertex.names.MSTl                 0.0067041728
## nodefactor.vertex.names.MT                   0.0200954232
## nodefactor.vertex.names.PIP                  0.0009810606
## nodefactor.vertex.names.PITd                 0.0091545918
## nodefactor.vertex.names.PITv                 0.0058382823
## nodefactor.vertex.names.PO                  -0.0230916985
## nodefactor.vertex.names.Ri                   1.0000000000
## nodefactor.vertex.names.SII                  0.0259367455
## nodefactor.vertex.names.SMA                  0.0269620083
## nodefactor.vertex.names.STPa                 0.0295239997
## nodefactor.vertex.names.STPp                 0.0295166950
## nodefactor.vertex.names.TF                   0.0129324294
## nodefactor.vertex.names.TH                   0.0026649728
## nodefactor.vertex.names.V1                  -0.0049984281
## nodefactor.vertex.names.V2                  -0.0061235908
## nodefactor.vertex.names.V3                  -0.0058850215
## nodefactor.vertex.names.V3A                  0.0403496923
## nodefactor.vertex.names.V4                   0.0381003789
## nodefactor.vertex.names.V4t                  0.0101217678
## nodefactor.vertex.names.VIP                 -0.0144995775
## nodefactor.vertex.names.VOT                  0.0311076916
## nodefactor.vertex.names.VP                   0.0087368108
##                                nodefactor.vertex.names.SII
## edges                                         0.2142921892
## mutual                                        0.2042350101
## nodefactor.vertex.names.2                     0.0465441577
## nodefactor.vertex.names.35                   -0.0061756274
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## nodefactor.vertex.names.7a                    0.0207629961
## nodefactor.vertex.names.7b                    0.0479755004
## nodefactor.vertex.names.AITd                  0.0223079771
## nodefactor.vertex.names.AITv                 -0.0056862988
## nodefactor.vertex.names.CITd                 -0.0060269192
## nodefactor.vertex.names.CITv                  0.0214762503
## nodefactor.vertex.names.DP                    0.0257783830
## nodefactor.vertex.names.FEF                   0.0639822980
## nodefactor.vertex.names.FST                   0.0226532502
## nodefactor.vertex.names.Id                    0.0264399455
## nodefactor.vertex.names.Ig                    0.0087417474
## nodefactor.vertex.names.LIP                  -0.0137616283
## nodefactor.vertex.names.MSTd/p                0.0148460387
## nodefactor.vertex.names.MSTl                 -0.0061596654
## nodefactor.vertex.names.MT                    0.0235542892
## nodefactor.vertex.names.PIP                   0.0626275603
## nodefactor.vertex.names.PITd                  0.0232206064
## nodefactor.vertex.names.PITv                  0.0422125125
## nodefactor.vertex.names.PO                    0.0332244125
## nodefactor.vertex.names.Ri                    0.0259367455
## nodefactor.vertex.names.SII                   1.0000000000
## nodefactor.vertex.names.SMA                  -0.0121439003
## nodefactor.vertex.names.STPa                  0.0568260939
## nodefactor.vertex.names.STPp                  0.0186043360
## nodefactor.vertex.names.TF                    0.0046577151
## nodefactor.vertex.names.TH                    0.0605090464
## nodefactor.vertex.names.V1                    0.0479381855
## nodefactor.vertex.names.V2                    0.0116899311
## nodefactor.vertex.names.V3                    0.0052929218
## nodefactor.vertex.names.V3A                   0.0403244579
## nodefactor.vertex.names.V4                    0.0317317944
## nodefactor.vertex.names.V4t                  -0.0118721333
## nodefactor.vertex.names.VIP                   0.0446317354
## nodefactor.vertex.names.VOT                   0.0046071287
## nodefactor.vertex.names.VP                    0.0052431620
##                                nodefactor.vertex.names.SMA
## edges                                          0.213161147
## mutual                                         0.210196254
## nodefactor.vertex.names.2                      0.034419249
## nodefactor.vertex.names.35                     0.029204518
## nodefactor.vertex.names.36                     0.039798077
## nodefactor.vertex.names.3a                     0.016148140
## nodefactor.vertex.names.3b                     0.036839341
## nodefactor.vertex.names.4                      0.040373072
## nodefactor.vertex.names.46                     0.034517778
## nodefactor.vertex.names.5                      0.045236149
## nodefactor.vertex.names.6                      0.018946827
## nodefactor.vertex.names.7a                     0.012578961
## nodefactor.vertex.names.7b                     0.016067151
## nodefactor.vertex.names.AITd                  -0.016128351
## nodefactor.vertex.names.AITv                   0.014036710
## nodefactor.vertex.names.CITd                   0.024373294
## nodefactor.vertex.names.CITv                   0.015758612
## nodefactor.vertex.names.DP                     0.019848239
## nodefactor.vertex.names.FEF                    0.031434407
## nodefactor.vertex.names.FST                    0.016191750
## nodefactor.vertex.names.Id                     0.001820653
## nodefactor.vertex.names.Ig                     0.016019222
## nodefactor.vertex.names.LIP                    0.052611751
## nodefactor.vertex.names.MSTd/p                 0.066292514
## nodefactor.vertex.names.MSTl                   0.006404442
## nodefactor.vertex.names.MT                     0.062160526
## nodefactor.vertex.names.PIP                    0.052022556
## nodefactor.vertex.names.PITd                   0.055353264
## nodefactor.vertex.names.PITv                   0.071046765
## nodefactor.vertex.names.PO                     0.029984487
## nodefactor.vertex.names.Ri                     0.026962008
## nodefactor.vertex.names.SII                   -0.012143900
## nodefactor.vertex.names.SMA                    1.000000000
## nodefactor.vertex.names.STPa                  -0.007551076
## nodefactor.vertex.names.STPp                   0.006008026
## nodefactor.vertex.names.TF                     0.004313948
## nodefactor.vertex.names.TH                     0.003886511
## nodefactor.vertex.names.V1                     0.031748725
## nodefactor.vertex.names.V2                     0.036381197
## nodefactor.vertex.names.V3                     0.048987971
## nodefactor.vertex.names.V3A                   -0.005260900
## nodefactor.vertex.names.V4                     0.047637784
## nodefactor.vertex.names.V4t                    0.012695385
## nodefactor.vertex.names.VIP                    0.024764260
## nodefactor.vertex.names.VOT                    0.029763141
## nodefactor.vertex.names.VP                     0.016278513
##                                nodefactor.vertex.names.STPa
## edges                                          1.229990e-01
## mutual                                         1.088797e-01
## nodefactor.vertex.names.2                      1.768849e-04
## nodefactor.vertex.names.35                     2.826605e-03
## nodefactor.vertex.names.36                    -3.861533e-02
## nodefactor.vertex.names.3a                     4.185334e-04
## nodefactor.vertex.names.3b                    -2.896743e-02
## nodefactor.vertex.names.4                      2.902757e-02
## nodefactor.vertex.names.46                     3.122015e-02
## nodefactor.vertex.names.5                      3.178111e-02
## nodefactor.vertex.names.6                     -2.526002e-05
## nodefactor.vertex.names.7a                     9.078219e-04
## nodefactor.vertex.names.7b                     4.605564e-03
## nodefactor.vertex.names.AITd                   9.395778e-03
## nodefactor.vertex.names.AITv                   1.511149e-02
## nodefactor.vertex.names.CITd                  -3.126540e-03
## nodefactor.vertex.names.CITv                  -2.137428e-02
## nodefactor.vertex.names.DP                     4.011977e-02
## nodefactor.vertex.names.FEF                   -1.053696e-03
## nodefactor.vertex.names.FST                    2.178576e-02
## nodefactor.vertex.names.Id                    -1.029779e-02
## nodefactor.vertex.names.Ig                     1.153337e-02
## nodefactor.vertex.names.LIP                    2.630601e-02
## nodefactor.vertex.names.MSTd/p                 7.014267e-03
## nodefactor.vertex.names.MSTl                  -2.024123e-02
## nodefactor.vertex.names.MT                     3.451682e-02
## nodefactor.vertex.names.PIP                    1.462064e-02
## nodefactor.vertex.names.PITd                  -1.870877e-02
## nodefactor.vertex.names.PITv                  -2.279019e-02
## nodefactor.vertex.names.PO                     2.331888e-03
## nodefactor.vertex.names.Ri                     2.952400e-02
## nodefactor.vertex.names.SII                    5.682609e-02
## nodefactor.vertex.names.SMA                   -7.551076e-03
## nodefactor.vertex.names.STPa                   1.000000e+00
## nodefactor.vertex.names.STPp                   3.802534e-02
## nodefactor.vertex.names.TF                     2.890415e-03
## nodefactor.vertex.names.TH                    -2.241596e-02
## nodefactor.vertex.names.V1                     2.207085e-02
## nodefactor.vertex.names.V2                    -9.475339e-04
## nodefactor.vertex.names.V3                     2.966752e-02
## nodefactor.vertex.names.V3A                    5.585652e-03
## nodefactor.vertex.names.V4                     2.992086e-02
## nodefactor.vertex.names.V4t                    3.527988e-02
## nodefactor.vertex.names.VIP                    2.527743e-02
## nodefactor.vertex.names.VOT                    1.826886e-02
## nodefactor.vertex.names.VP                     1.290716e-02
##                                nodefactor.vertex.names.STPp
## edges                                           0.191417220
## mutual                                          0.177956410
## nodefactor.vertex.names.2                       0.026429604
## nodefactor.vertex.names.35                      0.044238274
## nodefactor.vertex.names.36                      0.019186039
## nodefactor.vertex.names.3a                     -0.004944511
## nodefactor.vertex.names.3b                      0.028970274
## nodefactor.vertex.names.4                       0.008503246
## nodefactor.vertex.names.46                      0.046454534
## nodefactor.vertex.names.5                       0.028166418
## nodefactor.vertex.names.6                       0.011089046
## nodefactor.vertex.names.7a                      0.043578379
## nodefactor.vertex.names.7b                      0.007144806
## nodefactor.vertex.names.AITd                   -0.015873032
## nodefactor.vertex.names.AITv                   -0.016940640
## nodefactor.vertex.names.CITd                    0.020918900
## nodefactor.vertex.names.CITv                   -0.001128565
## nodefactor.vertex.names.DP                     -0.003433752
## nodefactor.vertex.names.FEF                     0.048409063
## nodefactor.vertex.names.FST                     0.031475981
## nodefactor.vertex.names.Id                     -0.004213764
## nodefactor.vertex.names.Ig                     -0.006524702
## nodefactor.vertex.names.LIP                     0.009182354
## nodefactor.vertex.names.MSTd/p                  0.038707401
## nodefactor.vertex.names.MSTl                    0.051045869
## nodefactor.vertex.names.MT                      0.010360197
## nodefactor.vertex.names.PIP                     0.010766815
## nodefactor.vertex.names.PITd                    0.024887034
## nodefactor.vertex.names.PITv                    0.015443692
## nodefactor.vertex.names.PO                      0.055207213
## nodefactor.vertex.names.Ri                      0.029516695
## nodefactor.vertex.names.SII                     0.018604336
## nodefactor.vertex.names.SMA                     0.006008026
## nodefactor.vertex.names.STPa                    0.038025342
## nodefactor.vertex.names.STPp                    1.000000000
## nodefactor.vertex.names.TF                      0.065569119
## nodefactor.vertex.names.TH                      0.030674157
## nodefactor.vertex.names.V1                      0.017027141
## nodefactor.vertex.names.V2                      0.044349819
## nodefactor.vertex.names.V3                      0.009334707
## nodefactor.vertex.names.V3A                    -0.026644109
## nodefactor.vertex.names.V4                      0.006595075
## nodefactor.vertex.names.V4t                     0.037220485
## nodefactor.vertex.names.VIP                    -0.001343107
## nodefactor.vertex.names.VOT                    -0.004641800
## nodefactor.vertex.names.VP                      0.019565537
##                                nodefactor.vertex.names.TF
## edges                                        0.2261256660
## mutual                                       0.2202190205
## nodefactor.vertex.names.2                    0.0315203744
## nodefactor.vertex.names.35                   0.0039527741
## nodefactor.vertex.names.36                   0.0360887284
## nodefactor.vertex.names.3a                   0.0382919815
## nodefactor.vertex.names.3b                   0.0236825290
## nodefactor.vertex.names.4                   -0.0126599646
## nodefactor.vertex.names.46                   0.0344411383
## nodefactor.vertex.names.5                    0.0165887149
## nodefactor.vertex.names.6                    0.0177952660
## nodefactor.vertex.names.7a                   0.0277006883
## nodefactor.vertex.names.7b                   0.0154908473
## nodefactor.vertex.names.AITd                 0.0231435385
## nodefactor.vertex.names.AITv                -0.0054599205
## nodefactor.vertex.names.CITd                 0.0408737048
## nodefactor.vertex.names.CITv                 0.0150929456
## nodefactor.vertex.names.DP                   0.0050218849
## nodefactor.vertex.names.FEF                  0.0502517089
## nodefactor.vertex.names.FST                  0.0042856797
## nodefactor.vertex.names.Id                   0.0091483081
## nodefactor.vertex.names.Ig                   0.0447955969
## nodefactor.vertex.names.LIP                  0.0336882903
## nodefactor.vertex.names.MSTd/p               0.0275079009
## nodefactor.vertex.names.MSTl                 0.0289426154
## nodefactor.vertex.names.MT                   0.0420549084
## nodefactor.vertex.names.PIP                  0.0180688546
## nodefactor.vertex.names.PITd                 0.0217888746
## nodefactor.vertex.names.PITv                 0.0065989542
## nodefactor.vertex.names.PO                   0.0310215662
## nodefactor.vertex.names.Ri                   0.0129324294
## nodefactor.vertex.names.SII                  0.0046577151
## nodefactor.vertex.names.SMA                  0.0043139483
## nodefactor.vertex.names.STPa                 0.0028904146
## nodefactor.vertex.names.STPp                 0.0655691193
## nodefactor.vertex.names.TF                   1.0000000000
## nodefactor.vertex.names.TH                   0.0281505242
## nodefactor.vertex.names.V1                   0.0287436936
## nodefactor.vertex.names.V2                   0.0192979470
## nodefactor.vertex.names.V3                   0.0441026565
## nodefactor.vertex.names.V3A                  0.0556048622
## nodefactor.vertex.names.V4                   0.0426292536
## nodefactor.vertex.names.V4t                  0.0379559434
## nodefactor.vertex.names.VIP                 -0.0008349996
## nodefactor.vertex.names.VOT                  0.0322649568
## nodefactor.vertex.names.VP                   0.0143624864
##                                nodefactor.vertex.names.TH
## edges                                         0.233447860
## mutual                                        0.216184820
## nodefactor.vertex.names.2                     0.037916927
## nodefactor.vertex.names.35                    0.002629862
## nodefactor.vertex.names.36                    0.009041103
## nodefactor.vertex.names.3a                    0.044334093
## nodefactor.vertex.names.3b                    0.036129170
## nodefactor.vertex.names.4                     0.017865449
## nodefactor.vertex.names.46                    0.021189288
## nodefactor.vertex.names.5                     0.060063188
## nodefactor.vertex.names.6                     0.002335568
## nodefactor.vertex.names.7a                    0.052906883
## nodefactor.vertex.names.7b                    0.018842226
## nodefactor.vertex.names.AITd                 -0.006313895
## nodefactor.vertex.names.AITv                  0.042794953
## nodefactor.vertex.names.CITd                  0.013727740
## nodefactor.vertex.names.CITv                  0.024134980
## nodefactor.vertex.names.DP                    0.027980063
## nodefactor.vertex.names.FEF                   0.051057691
## nodefactor.vertex.names.FST                   0.051108829
## nodefactor.vertex.names.Id                    0.029001304
## nodefactor.vertex.names.Ig                    0.045066904
## nodefactor.vertex.names.LIP                   0.021880992
## nodefactor.vertex.names.MSTd/p                0.033632585
## nodefactor.vertex.names.MSTl                  0.046099663
## nodefactor.vertex.names.MT                    0.056444613
## nodefactor.vertex.names.PIP                   0.007049229
## nodefactor.vertex.names.PITd                  0.004366739
## nodefactor.vertex.names.PITv                  0.009562809
## nodefactor.vertex.names.PO                    0.029495448
## nodefactor.vertex.names.Ri                    0.002664973
## nodefactor.vertex.names.SII                   0.060509046
## nodefactor.vertex.names.SMA                   0.003886511
## nodefactor.vertex.names.STPa                 -0.022415956
## nodefactor.vertex.names.STPp                  0.030674157
## nodefactor.vertex.names.TF                    0.028150524
## nodefactor.vertex.names.TH                    1.000000000
## nodefactor.vertex.names.V1                    0.040368550
## nodefactor.vertex.names.V2                    0.004425430
## nodefactor.vertex.names.V3                    0.049729882
## nodefactor.vertex.names.V3A                   0.069878994
## nodefactor.vertex.names.V4                    0.041147698
## nodefactor.vertex.names.V4t                   0.001644155
## nodefactor.vertex.names.VIP                   0.042101026
## nodefactor.vertex.names.VOT                   0.020116848
## nodefactor.vertex.names.VP                   -0.011548995
##                                nodefactor.vertex.names.V1
## edges                                         0.215011835
## mutual                                        0.208859632
## nodefactor.vertex.names.2                     0.062329266
## nodefactor.vertex.names.35                    0.012867803
## nodefactor.vertex.names.36                    0.012400799
## nodefactor.vertex.names.3a                    0.027989009
## nodefactor.vertex.names.3b                    0.021936112
## nodefactor.vertex.names.4                     0.066354891
## nodefactor.vertex.names.46                    0.040775119
## nodefactor.vertex.names.5                     0.026060266
## nodefactor.vertex.names.6                     0.021350733
## nodefactor.vertex.names.7a                    0.012330203
## nodefactor.vertex.names.7b                    0.038165759
## nodefactor.vertex.names.AITd                  0.030175859
## nodefactor.vertex.names.AITv                  0.049080193
## nodefactor.vertex.names.CITd                  0.019221332
## nodefactor.vertex.names.CITv                  0.003525018
## nodefactor.vertex.names.DP                    0.055797950
## nodefactor.vertex.names.FEF                   0.004035564
## nodefactor.vertex.names.FST                   0.018919171
## nodefactor.vertex.names.Id                    0.037422697
## nodefactor.vertex.names.Ig                    0.009110786
## nodefactor.vertex.names.LIP                   0.031682120
## nodefactor.vertex.names.MSTd/p               -0.004758271
## nodefactor.vertex.names.MSTl                  0.028602348
## nodefactor.vertex.names.MT                    0.033916648
## nodefactor.vertex.names.PIP                   0.003320327
## nodefactor.vertex.names.PITd                 -0.009218566
## nodefactor.vertex.names.PITv                 -0.010930584
## nodefactor.vertex.names.PO                    0.035403238
## nodefactor.vertex.names.Ri                   -0.004998428
## nodefactor.vertex.names.SII                   0.047938186
## nodefactor.vertex.names.SMA                   0.031748725
## nodefactor.vertex.names.STPa                  0.022070846
## nodefactor.vertex.names.STPp                  0.017027141
## nodefactor.vertex.names.TF                    0.028743694
## nodefactor.vertex.names.TH                    0.040368550
## nodefactor.vertex.names.V1                    1.000000000
## nodefactor.vertex.names.V2                    0.001134666
## nodefactor.vertex.names.V3                    0.018474904
## nodefactor.vertex.names.V3A                   0.069158758
## nodefactor.vertex.names.V4                    0.039397152
## nodefactor.vertex.names.V4t                   0.043286437
## nodefactor.vertex.names.VIP                   0.039800870
## nodefactor.vertex.names.VOT                   0.019528098
## nodefactor.vertex.names.VP                    0.021854244
##                                nodefactor.vertex.names.V2
## edges                                        0.2433134763
## mutual                                       0.2316545815
## nodefactor.vertex.names.2                    0.0147050817
## nodefactor.vertex.names.35                   0.0221699803
## nodefactor.vertex.names.36                   0.0010939084
## nodefactor.vertex.names.3a                   0.0630245992
## nodefactor.vertex.names.3b                   0.0048651769
## nodefactor.vertex.names.4                    0.0288416718
## nodefactor.vertex.names.46                   0.0188203081
## nodefactor.vertex.names.5                    0.0379784709
## nodefactor.vertex.names.6                    0.0136530163
## nodefactor.vertex.names.7a                   0.0492156596
## nodefactor.vertex.names.7b                   0.0403369163
## nodefactor.vertex.names.AITd                 0.0095688188
## nodefactor.vertex.names.AITv                -0.0063768252
## nodefactor.vertex.names.CITd                 0.0327541859
## nodefactor.vertex.names.CITv                 0.0332773187
## nodefactor.vertex.names.DP                   0.0033452710
## nodefactor.vertex.names.FEF                  0.0427709743
## nodefactor.vertex.names.FST                  0.0449451742
## nodefactor.vertex.names.Id                   0.0141527713
## nodefactor.vertex.names.Ig                   0.0372591680
## nodefactor.vertex.names.LIP                  0.0409091657
## nodefactor.vertex.names.MSTd/p               0.0239586046
## nodefactor.vertex.names.MSTl                 0.0722031895
## nodefactor.vertex.names.MT                   0.0233877015
## nodefactor.vertex.names.PIP                  0.0484880504
## nodefactor.vertex.names.PITd                 0.0515432044
## nodefactor.vertex.names.PITv                 0.0261993716
## nodefactor.vertex.names.PO                   0.0446521205
## nodefactor.vertex.names.Ri                  -0.0061235908
## nodefactor.vertex.names.SII                  0.0116899311
## nodefactor.vertex.names.SMA                  0.0363811968
## nodefactor.vertex.names.STPa                -0.0009475339
## nodefactor.vertex.names.STPp                 0.0443498187
## nodefactor.vertex.names.TF                   0.0192979470
## nodefactor.vertex.names.TH                   0.0044254299
## nodefactor.vertex.names.V1                   0.0011346660
## nodefactor.vertex.names.V2                   1.0000000000
## nodefactor.vertex.names.V3                   0.0607727554
## nodefactor.vertex.names.V3A                  0.0260871383
## nodefactor.vertex.names.V4                   0.0248621484
## nodefactor.vertex.names.V4t                 -0.0091948441
## nodefactor.vertex.names.VIP                  0.0523407527
## nodefactor.vertex.names.VOT                  0.0049412090
## nodefactor.vertex.names.VP                   0.0416220665
##                                nodefactor.vertex.names.V3
## edges                                        0.2298051152
## mutual                                       0.2232689170
## nodefactor.vertex.names.2                    0.0200689532
## nodefactor.vertex.names.35                   0.0357353728
## nodefactor.vertex.names.36                   0.0418512581
## nodefactor.vertex.names.3a                   0.0133606120
## nodefactor.vertex.names.3b                   0.0265226346
## nodefactor.vertex.names.4                    0.0271845911
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## nodefactor.vertex.names.5                    0.0318286385
## nodefactor.vertex.names.6                    0.0727029328
## nodefactor.vertex.names.7a                   0.0195551776
## nodefactor.vertex.names.7b                   0.0295796372
## nodefactor.vertex.names.AITd                 0.0179376742
## nodefactor.vertex.names.AITv                 0.0151508138
## nodefactor.vertex.names.CITd                 0.0145913443
## nodefactor.vertex.names.CITv                 0.0364090722
## nodefactor.vertex.names.DP                  -0.0137403259
## nodefactor.vertex.names.FEF                  0.0590395800
## nodefactor.vertex.names.FST                  0.0105982964
## nodefactor.vertex.names.Id                   0.0118226586
## nodefactor.vertex.names.Ig                   0.0004386472
## nodefactor.vertex.names.LIP                  0.0030923672
## nodefactor.vertex.names.MSTd/p               0.0281146808
## nodefactor.vertex.names.MSTl                 0.0159978640
## nodefactor.vertex.names.MT                   0.0415203427
## nodefactor.vertex.names.PIP                  0.0298114956
## nodefactor.vertex.names.PITd                 0.0413590831
## nodefactor.vertex.names.PITv                 0.0225192887
## nodefactor.vertex.names.PO                  -0.0300127372
## nodefactor.vertex.names.Ri                  -0.0058850215
## nodefactor.vertex.names.SII                  0.0052929218
## nodefactor.vertex.names.SMA                  0.0489879708
## nodefactor.vertex.names.STPa                 0.0296675240
## nodefactor.vertex.names.STPp                 0.0093347075
## nodefactor.vertex.names.TF                   0.0441026565
## nodefactor.vertex.names.TH                   0.0497298815
## nodefactor.vertex.names.V1                   0.0184749042
## nodefactor.vertex.names.V2                   0.0607727554
## nodefactor.vertex.names.V3                   1.0000000000
## nodefactor.vertex.names.V3A                  0.0209978434
## nodefactor.vertex.names.V4                   0.0258862844
## nodefactor.vertex.names.V4t                  0.0290762060
## nodefactor.vertex.names.VIP                 -0.0030246438
## nodefactor.vertex.names.VOT                  0.0258986774
## nodefactor.vertex.names.VP                   0.0202097747
##                                nodefactor.vertex.names.V3A
## edges                                         0.2522668171
## mutual                                        0.2399200356
## nodefactor.vertex.names.2                     0.0553502165
## nodefactor.vertex.names.35                    0.0088886920
## nodefactor.vertex.names.36                    0.0364599051
## nodefactor.vertex.names.3a                    0.0196776428
## nodefactor.vertex.names.3b                    0.0003022737
## nodefactor.vertex.names.4                     0.0311883265
## nodefactor.vertex.names.46                    0.0697663868
## nodefactor.vertex.names.5                     0.0482070380
## nodefactor.vertex.names.6                     0.0184166331
## nodefactor.vertex.names.7a                    0.0501460271
## nodefactor.vertex.names.7b                    0.0244309086
## nodefactor.vertex.names.AITd                  0.0213644015
## nodefactor.vertex.names.AITv                  0.0370175980
## nodefactor.vertex.names.CITd                  0.0142116324
## nodefactor.vertex.names.CITv                  0.0420065937
## nodefactor.vertex.names.DP                    0.0564086572
## nodefactor.vertex.names.FEF                   0.0131394089
## nodefactor.vertex.names.FST                   0.0058788816
## nodefactor.vertex.names.Id                    0.0321443989
## nodefactor.vertex.names.Ig                    0.0334752356
## nodefactor.vertex.names.LIP                   0.0311623576
## nodefactor.vertex.names.MSTd/p                0.0011965740
## nodefactor.vertex.names.MSTl                  0.0475815032
## nodefactor.vertex.names.MT                    0.0845773395
## nodefactor.vertex.names.PIP                   0.0213460572
## nodefactor.vertex.names.PITd                  0.0249814255
## nodefactor.vertex.names.PITv                  0.0207067472
## nodefactor.vertex.names.PO                   -0.0087508130
## nodefactor.vertex.names.Ri                    0.0403496923
## nodefactor.vertex.names.SII                   0.0403244579
## nodefactor.vertex.names.SMA                  -0.0052608999
## nodefactor.vertex.names.STPa                  0.0055856518
## nodefactor.vertex.names.STPp                 -0.0266441092
## nodefactor.vertex.names.TF                    0.0556048622
## nodefactor.vertex.names.TH                    0.0698789945
## nodefactor.vertex.names.V1                    0.0691587579
## nodefactor.vertex.names.V2                    0.0260871383
## nodefactor.vertex.names.V3                    0.0209978434
## nodefactor.vertex.names.V3A                   1.0000000000
## nodefactor.vertex.names.V4                    0.0388423500
## nodefactor.vertex.names.V4t                   0.0133021038
## nodefactor.vertex.names.VIP                   0.0477421133
## nodefactor.vertex.names.VOT                   0.0233606362
## nodefactor.vertex.names.VP                    0.0188486690
##                                nodefactor.vertex.names.V4
## edges                                        0.2579612914
## mutual                                       0.2545627786
## nodefactor.vertex.names.2                    0.0546556918
## nodefactor.vertex.names.35                   0.0378334840
## nodefactor.vertex.names.36                   0.0173357182
## nodefactor.vertex.names.3a                  -0.0048146753
## nodefactor.vertex.names.3b                   0.0331966019
## nodefactor.vertex.names.4                    0.0166575014
## nodefactor.vertex.names.46                   0.0371621294
## nodefactor.vertex.names.5                    0.0695690510
## nodefactor.vertex.names.6                    0.0408962086
## nodefactor.vertex.names.7a                   0.0235020931
## nodefactor.vertex.names.7b                   0.0200800401
## nodefactor.vertex.names.AITd                 0.0430460693
## nodefactor.vertex.names.AITv                 0.0183458524
## nodefactor.vertex.names.CITd                 0.0006009402
## nodefactor.vertex.names.CITv                 0.0170319516
## nodefactor.vertex.names.DP                   0.0251255089
## nodefactor.vertex.names.FEF                  0.0141009515
## nodefactor.vertex.names.FST                  0.0338311882
## nodefactor.vertex.names.Id                   0.0227357521
## nodefactor.vertex.names.Ig                   0.0380723914
## nodefactor.vertex.names.LIP                  0.0211408466
## nodefactor.vertex.names.MSTd/p               0.0418850621
## nodefactor.vertex.names.MSTl                 0.0240925792
## nodefactor.vertex.names.MT                  -0.0193288427
## nodefactor.vertex.names.PIP                  0.0001634708
## nodefactor.vertex.names.PITd                 0.0435880127
## nodefactor.vertex.names.PITv                 0.0634334288
## nodefactor.vertex.names.PO                   0.0057444195
## nodefactor.vertex.names.Ri                   0.0381003789
## nodefactor.vertex.names.SII                  0.0317317944
## nodefactor.vertex.names.SMA                  0.0476377839
## nodefactor.vertex.names.STPa                 0.0299208630
## nodefactor.vertex.names.STPp                 0.0065950748
## nodefactor.vertex.names.TF                   0.0426292536
## nodefactor.vertex.names.TH                   0.0411476984
## nodefactor.vertex.names.V1                   0.0393971518
## nodefactor.vertex.names.V2                   0.0248621484
## nodefactor.vertex.names.V3                   0.0258862844
## nodefactor.vertex.names.V3A                  0.0388423500
## nodefactor.vertex.names.V4                   1.0000000000
## nodefactor.vertex.names.V4t                  0.0477031639
## nodefactor.vertex.names.VIP                  0.0411581964
## nodefactor.vertex.names.VOT                  0.0269338703
## nodefactor.vertex.names.VP                   0.0442118556
##                                nodefactor.vertex.names.V4t
## edges                                          0.206789886
## mutual                                         0.199569204
## nodefactor.vertex.names.2                      0.030542168
## nodefactor.vertex.names.35                     0.026543386
## nodefactor.vertex.names.36                     0.013970520
## nodefactor.vertex.names.3a                     0.020912200
## nodefactor.vertex.names.3b                     0.009493067
## nodefactor.vertex.names.4                     -0.027938404
## nodefactor.vertex.names.46                     0.049375096
## nodefactor.vertex.names.5                      0.028698906
## nodefactor.vertex.names.6                      0.041766633
## nodefactor.vertex.names.7a                     0.028482041
## nodefactor.vertex.names.7b                     0.016414048
## nodefactor.vertex.names.AITd                  -0.023189832
## nodefactor.vertex.names.AITv                   0.048081098
## nodefactor.vertex.names.CITd                   0.008060640
## nodefactor.vertex.names.CITv                   0.029934375
## nodefactor.vertex.names.DP                     0.046359678
## nodefactor.vertex.names.FEF                    0.031597631
## nodefactor.vertex.names.FST                    0.055176570
## nodefactor.vertex.names.Id                     0.030963384
## nodefactor.vertex.names.Ig                     0.021415134
## nodefactor.vertex.names.LIP                    0.045954679
## nodefactor.vertex.names.MSTd/p                 0.053778863
## nodefactor.vertex.names.MSTl                   0.015232134
## nodefactor.vertex.names.MT                     0.045798656
## nodefactor.vertex.names.PIP                    0.021390058
## nodefactor.vertex.names.PITd                  -0.010829238
## nodefactor.vertex.names.PITv                   0.037679228
## nodefactor.vertex.names.PO                    -0.003889949
## nodefactor.vertex.names.Ri                     0.010121768
## nodefactor.vertex.names.SII                   -0.011872133
## nodefactor.vertex.names.SMA                    0.012695385
## nodefactor.vertex.names.STPa                   0.035279884
## nodefactor.vertex.names.STPp                   0.037220485
## nodefactor.vertex.names.TF                     0.037955943
## nodefactor.vertex.names.TH                     0.001644155
## nodefactor.vertex.names.V1                     0.043286437
## nodefactor.vertex.names.V2                    -0.009194844
## nodefactor.vertex.names.V3                     0.029076206
## nodefactor.vertex.names.V3A                    0.013302104
## nodefactor.vertex.names.V4                     0.047703164
## nodefactor.vertex.names.V4t                    1.000000000
## nodefactor.vertex.names.VIP                    0.015151452
## nodefactor.vertex.names.VOT                    0.047170717
## nodefactor.vertex.names.VP                     0.026710510
##                                nodefactor.vertex.names.VIP
## edges                                         0.2551025105
## mutual                                        0.2542918092
## nodefactor.vertex.names.2                     0.0774681897
## nodefactor.vertex.names.35                    0.0384029901
## nodefactor.vertex.names.36                    0.0036110490
## nodefactor.vertex.names.3a                    0.0450566214
## nodefactor.vertex.names.3b                    0.0296596531
## nodefactor.vertex.names.4                     0.0552474808
## nodefactor.vertex.names.46                    0.0155985298
## nodefactor.vertex.names.5                     0.0394142505
## nodefactor.vertex.names.6                     0.0164898168
## nodefactor.vertex.names.7a                    0.0182751708
## nodefactor.vertex.names.7b                    0.0346250866
## nodefactor.vertex.names.AITd                  0.0328334101
## nodefactor.vertex.names.AITv                  0.0595726505
## nodefactor.vertex.names.CITd                  0.0243731565
## nodefactor.vertex.names.CITv                  0.0298816882
## nodefactor.vertex.names.DP                    0.0521296661
## nodefactor.vertex.names.FEF                   0.0296309881
## nodefactor.vertex.names.FST                   0.0185600044
## nodefactor.vertex.names.Id                    0.0070032109
## nodefactor.vertex.names.Ig                    0.0404425813
## nodefactor.vertex.names.LIP                   0.0157659147
## nodefactor.vertex.names.MSTd/p                0.0096579734
## nodefactor.vertex.names.MSTl                  0.0563880104
## nodefactor.vertex.names.MT                    0.0425508628
## nodefactor.vertex.names.PIP                   0.0325647207
## nodefactor.vertex.names.PITd                  0.0266087268
## nodefactor.vertex.names.PITv                  0.0180632627
## nodefactor.vertex.names.PO                    0.0286522218
## nodefactor.vertex.names.Ri                   -0.0144995775
## nodefactor.vertex.names.SII                   0.0446317354
## nodefactor.vertex.names.SMA                   0.0247642598
## nodefactor.vertex.names.STPa                  0.0252774347
## nodefactor.vertex.names.STPp                 -0.0013431072
## nodefactor.vertex.names.TF                   -0.0008349996
## nodefactor.vertex.names.TH                    0.0421010261
## nodefactor.vertex.names.V1                    0.0398008696
## nodefactor.vertex.names.V2                    0.0523407527
## nodefactor.vertex.names.V3                   -0.0030246438
## nodefactor.vertex.names.V3A                   0.0477421133
## nodefactor.vertex.names.V4                    0.0411581964
## nodefactor.vertex.names.V4t                   0.0151514519
## nodefactor.vertex.names.VIP                   1.0000000000
## nodefactor.vertex.names.VOT                   0.0394924127
## nodefactor.vertex.names.VP                    0.0426165647
##                                nodefactor.vertex.names.VOT
## edges                                         0.1417486071
## mutual                                        0.1296544027
## nodefactor.vertex.names.2                     0.0522702595
## nodefactor.vertex.names.35                    0.0295118342
## nodefactor.vertex.names.36                   -0.0200142014
## nodefactor.vertex.names.3a                    0.0323040153
## nodefactor.vertex.names.3b                    0.0178699680
## nodefactor.vertex.names.4                     0.0442256196
## nodefactor.vertex.names.46                    0.0815373864
## nodefactor.vertex.names.5                     0.0275140019
## nodefactor.vertex.names.6                    -0.0294649787
## nodefactor.vertex.names.7a                   -0.0033666908
## nodefactor.vertex.names.7b                   -0.0046597487
## nodefactor.vertex.names.AITd                  0.0402820301
## nodefactor.vertex.names.AITv                  0.0058508025
## nodefactor.vertex.names.CITd                  0.0040553070
## nodefactor.vertex.names.CITv                 -0.0420320042
## nodefactor.vertex.names.DP                    0.0299721646
## nodefactor.vertex.names.FEF                   0.0462374624
## nodefactor.vertex.names.FST                   0.0210972621
## nodefactor.vertex.names.Id                   -0.0107834226
## nodefactor.vertex.names.Ig                   -0.0343215406
## nodefactor.vertex.names.LIP                   0.0003774673
## nodefactor.vertex.names.MSTd/p               -0.0014014848
## nodefactor.vertex.names.MSTl                 -0.0008206584
## nodefactor.vertex.names.MT                    0.0170406528
## nodefactor.vertex.names.PIP                  -0.0330698379
## nodefactor.vertex.names.PITd                  0.0188739969
## nodefactor.vertex.names.PITv                 -0.0230773595
## nodefactor.vertex.names.PO                   -0.0024033934
## nodefactor.vertex.names.Ri                    0.0311076916
## nodefactor.vertex.names.SII                   0.0046071287
## nodefactor.vertex.names.SMA                   0.0297631408
## nodefactor.vertex.names.STPa                  0.0182688568
## nodefactor.vertex.names.STPp                 -0.0046417997
## nodefactor.vertex.names.TF                    0.0322649568
## nodefactor.vertex.names.TH                    0.0201168476
## nodefactor.vertex.names.V1                    0.0195280982
## nodefactor.vertex.names.V2                    0.0049412090
## nodefactor.vertex.names.V3                    0.0258986774
## nodefactor.vertex.names.V3A                   0.0233606362
## nodefactor.vertex.names.V4                    0.0269338703
## nodefactor.vertex.names.V4t                   0.0471707174
## nodefactor.vertex.names.VIP                   0.0394924127
## nodefactor.vertex.names.VOT                   1.0000000000
## nodefactor.vertex.names.VP                    0.0226657030
##                                nodefactor.vertex.names.VP
## edges                                        0.2294039337
## mutual                                       0.2201490967
## nodefactor.vertex.names.2                    0.0307352907
## nodefactor.vertex.names.35                   0.0468788428
## nodefactor.vertex.names.36                   0.0321621013
## nodefactor.vertex.names.3a                   0.0348318704
## nodefactor.vertex.names.3b                   0.0441332765
## nodefactor.vertex.names.4                    0.0005472012
## nodefactor.vertex.names.46                   0.0269376580
## nodefactor.vertex.names.5                    0.0049769691
## nodefactor.vertex.names.6                    0.0566882287
## nodefactor.vertex.names.7a                   0.0732281894
## nodefactor.vertex.names.7b                  -0.0011018325
## nodefactor.vertex.names.AITd                 0.0445562096
## nodefactor.vertex.names.AITv                 0.0205507387
## nodefactor.vertex.names.CITd                 0.0405566960
## nodefactor.vertex.names.CITv                 0.0530510254
## nodefactor.vertex.names.DP                   0.0033396272
## nodefactor.vertex.names.FEF                  0.0353784006
## nodefactor.vertex.names.FST                  0.0165208958
## nodefactor.vertex.names.Id                   0.0175348859
## nodefactor.vertex.names.Ig                   0.0433941206
## nodefactor.vertex.names.LIP                 -0.0003976271
## nodefactor.vertex.names.MSTd/p               0.0018983299
## nodefactor.vertex.names.MSTl                 0.0703668959
## nodefactor.vertex.names.MT                   0.0442327205
## nodefactor.vertex.names.PIP                  0.0262845340
## nodefactor.vertex.names.PITd                 0.0284597833
## nodefactor.vertex.names.PITv                 0.0061114544
## nodefactor.vertex.names.PO                   0.0121011485
## nodefactor.vertex.names.Ri                   0.0087368108
## nodefactor.vertex.names.SII                  0.0052431620
## nodefactor.vertex.names.SMA                  0.0162785129
## nodefactor.vertex.names.STPa                 0.0129071567
## nodefactor.vertex.names.STPp                 0.0195655371
## nodefactor.vertex.names.TF                   0.0143624864
## nodefactor.vertex.names.TH                  -0.0115489948
## nodefactor.vertex.names.V1                   0.0218542438
## nodefactor.vertex.names.V2                   0.0416220665
## nodefactor.vertex.names.V3                   0.0202097747
## nodefactor.vertex.names.V3A                  0.0188486690
## nodefactor.vertex.names.V4                   0.0442118556
## nodefactor.vertex.names.V4t                  0.0267105105
## nodefactor.vertex.names.VIP                  0.0426165647
## nodefactor.vertex.names.VOT                  0.0226657030
## nodefactor.vertex.names.VP                   1.0000000000
## 
## Sample statistics auto-correlation:
## Chain 1 
##                edges     mutual nodefactor.vertex.names.2
## Lag 0     1.00000000 1.00000000                1.00000000
## Lag 8192  0.54904990 0.56916401                0.53952562
## Lag 16384 0.31342617 0.32860514                0.29746521
## Lag 24576 0.17726232 0.19174435                0.14681865
## Lag 32768 0.11081190 0.13001530                0.08493264
## Lag 40960 0.07011538 0.08508379                0.05412579
##           nodefactor.vertex.names.35 nodefactor.vertex.names.36
## Lag 0                    1.000000000                 1.00000000
## Lag 8192                 0.337019558                 0.41204483
## Lag 16384                0.118707443                 0.19731975
## Lag 24576                0.003421144                 0.09273336
## Lag 32768               -0.026608643                 0.05438648
## Lag 40960               -0.020919260                 0.02613485
##           nodefactor.vertex.names.3a nodefactor.vertex.names.3b
## Lag 0                     1.00000000                 1.00000000
## Lag 8192                  0.46872398                 0.41416749
## Lag 16384                 0.22472437                 0.20191141
## Lag 24576                 0.08903029                 0.12771695
## Lag 32768                 0.02011055                 0.06176647
## Lag 40960                -0.01329854                 0.02255422
##           nodefactor.vertex.names.4 nodefactor.vertex.names.46
## Lag 0                    1.00000000                 1.00000000
## Lag 8192                 0.52238975                 0.60128661
## Lag 16384                0.27725158                 0.36930356
## Lag 24576                0.13724461                 0.22154841
## Lag 32768                0.06639837                 0.11894798
## Lag 40960                0.01307976                 0.05472708
##           nodefactor.vertex.names.5 nodefactor.vertex.names.6
## Lag 0                    1.00000000                1.00000000
## Lag 8192                 0.51722401                0.52573196
## Lag 16384                0.30618517                0.30213014
## Lag 24576                0.18715995                0.17128953
## Lag 32768                0.08835623                0.09647327
## Lag 40960                0.06328695                0.03047270
##           nodefactor.vertex.names.7a nodefactor.vertex.names.7b
## Lag 0                     1.00000000                 1.00000000
## Lag 8192                  0.55016509                 0.54563523
## Lag 16384                 0.32046963                 0.30838021
## Lag 24576                 0.17385361                 0.17042707
## Lag 32768                 0.09691113                 0.08655622
## Lag 40960                 0.03818497                 0.04963866
##           nodefactor.vertex.names.AITd nodefactor.vertex.names.AITv
## Lag 0                       1.00000000                  1.000000000
## Lag 8192                    0.50085781                  0.479912210
## Lag 16384                   0.28075929                  0.261876670
## Lag 24576                   0.15621951                  0.145537043
## Lag 32768                   0.10341668                  0.054150227
## Lag 40960                   0.06998926                  0.004676129
##           nodefactor.vertex.names.CITd nodefactor.vertex.names.CITv
## Lag 0                       1.00000000                   1.00000000
## Lag 8192                    0.44308214                   0.51898431
## Lag 16384                   0.19480239                   0.29902450
## Lag 24576                   0.06974918                   0.18785794
## Lag 32768                   0.03866006                   0.09494799
## Lag 40960                   0.01807733                   0.05470146
##           nodefactor.vertex.names.DP nodefactor.vertex.names.FEF
## Lag 0                     1.00000000                  1.00000000
## Lag 8192                  0.51843720                  0.57217516
## Lag 16384                 0.26542655                  0.34988614
## Lag 24576                 0.11067109                  0.18653501
## Lag 32768                 0.03221475                  0.10739123
## Lag 40960                 0.01195596                  0.05854526
##           nodefactor.vertex.names.FST nodefactor.vertex.names.Id
## Lag 0                      1.00000000                 1.00000000
## Lag 8192                   0.56925463                 0.41107794
## Lag 16384                  0.34488352                 0.16985530
## Lag 24576                  0.22253197                 0.06775177
## Lag 32768                  0.14539009                 0.03297290
## Lag 40960                  0.09546622                 0.01333126
##           nodefactor.vertex.names.Ig nodefactor.vertex.names.LIP
## Lag 0                     1.00000000                   1.0000000
## Lag 8192                  0.46628504                   0.5811724
## Lag 16384                 0.23537454                   0.3440359
## Lag 24576                 0.11726189                   0.1991053
## Lag 32768                 0.04646255                   0.1071245
## Lag 40960                 0.02317702                   0.0440612
##           nodefactor.vertex.names.MSTd/p nodefactor.vertex.names.MSTl
## Lag 0                         1.00000000                   1.00000000
## Lag 8192                      0.57259957                   0.51115335
## Lag 16384                     0.35232318                   0.26826798
## Lag 24576                     0.21364216                   0.15637942
## Lag 32768                     0.12181697                   0.10109046
## Lag 40960                     0.07838702                   0.08222535
##           nodefactor.vertex.names.MT nodefactor.vertex.names.PIP
## Lag 0                      1.0000000                  1.00000000
## Lag 8192                   0.5728836                  0.52194799
## Lag 16384                  0.3463341                  0.29624118
## Lag 24576                  0.1990424                  0.15017664
## Lag 32768                  0.1129935                  0.08897634
## Lag 40960                  0.0614181                  0.05286671
##           nodefactor.vertex.names.PITd nodefactor.vertex.names.PITv
## Lag 0                       1.00000000                   1.00000000
## Lag 8192                    0.48113984                   0.53184365
## Lag 16384                   0.26254643                   0.30286383
## Lag 24576                   0.13257739                   0.18442403
## Lag 32768                   0.07130586                   0.11614823
## Lag 40960                   0.05778068                   0.07374681
##           nodefactor.vertex.names.PO nodefactor.vertex.names.Ri
## Lag 0                     1.00000000                 1.00000000
## Lag 8192                  0.59732806                 0.40849716
## Lag 16384                 0.37529354                 0.18477337
## Lag 24576                 0.23145972                 0.09868041
## Lag 32768                 0.13797082                 0.04209239
## Lag 40960                 0.09105611                 0.02351556
##           nodefactor.vertex.names.SII nodefactor.vertex.names.SMA
## Lag 0                      1.00000000                 1.000000000
## Lag 8192                   0.54727189                 0.503607875
## Lag 16384                  0.31872145                 0.254287288
## Lag 24576                  0.19353772                 0.112774244
## Lag 32768                  0.09853119                 0.053320328
## Lag 40960                  0.05648138                 0.001153251
##           nodefactor.vertex.names.STPa nodefactor.vertex.names.STPp
## Lag 0                       1.00000000                   1.00000000
## Lag 8192                    0.42485501                   0.51125885
## Lag 16384                   0.19000045                   0.26115168
## Lag 24576                   0.08503881                   0.13853222
## Lag 32768                   0.05055281                   0.06834459
## Lag 40960                   0.02373232                   0.02930105
##           nodefactor.vertex.names.TF nodefactor.vertex.names.TH
## Lag 0                      1.0000000                 1.00000000
## Lag 8192                   0.5741367                 0.56173762
## Lag 16384                  0.3470817                 0.32951747
## Lag 24576                  0.2216044                 0.18279699
## Lag 32768                  0.1424420                 0.09640744
## Lag 40960                  0.1193853                 0.05228853
##           nodefactor.vertex.names.V1 nodefactor.vertex.names.V2
## Lag 0                     1.00000000                  1.0000000
## Lag 8192                  0.50143083                  0.5796809
## Lag 16384                 0.25989713                  0.3554609
## Lag 24576                 0.11777765                  0.2271763
## Lag 32768                 0.06511476                  0.1507214
## Lag 40960                 0.01471137                  0.1119186
##           nodefactor.vertex.names.V3 nodefactor.vertex.names.V3A
## Lag 0                     1.00000000                  1.00000000
## Lag 8192                  0.58306769                  0.54097914
## Lag 16384                 0.33079900                  0.28644052
## Lag 24576                 0.19975849                  0.15253312
## Lag 32768                 0.12491890                  0.10619576
## Lag 40960                 0.06989325                  0.06169697
##           nodefactor.vertex.names.V4 nodefactor.vertex.names.V4t
## Lag 0                     1.00000000                 1.000000000
## Lag 8192                  0.58308417                 0.500663149
## Lag 16384                 0.34486324                 0.251150562
## Lag 24576                 0.21023127                 0.094149459
## Lag 32768                 0.12184834                 0.034520821
## Lag 40960                 0.06534783                 0.006753972
##           nodefactor.vertex.names.VIP nodefactor.vertex.names.VOT
## Lag 0                      1.00000000                 1.000000000
## Lag 8192                   0.59475486                 0.400019246
## Lag 16384                  0.37276290                 0.183908982
## Lag 24576                  0.23978730                 0.101182418
## Lag 32768                  0.15136445                 0.050251828
## Lag 40960                  0.09061252                -0.002896266
##           nodefactor.vertex.names.VP
## Lag 0                     1.00000000
## Lag 8192                  0.56138629
## Lag 16384                 0.30586478
## Lag 24576                 0.16048672
## Lag 32768                 0.08946622
## Lag 40960                 0.03893471
## 
## Sample statistics burn-in diagnostic (Geweke):
## Chain 1 
## 
## Fraction in 1st window = 0.1
## Fraction in 2nd window = 0.5 
## 
##                          edges                         mutual 
##                    -4.32731725                    -3.63809713 
##      nodefactor.vertex.names.2     nodefactor.vertex.names.35 
##                    -1.08919532                    -0.13687060 
##     nodefactor.vertex.names.36     nodefactor.vertex.names.3a 
##                    -1.08267491                     0.06743824 
##     nodefactor.vertex.names.3b      nodefactor.vertex.names.4 
##                    -0.92107234                    -3.18908903 
##     nodefactor.vertex.names.46      nodefactor.vertex.names.5 
##                    -1.50079846                    -0.86323072 
##      nodefactor.vertex.names.6     nodefactor.vertex.names.7a 
##                    -0.31586271                    -0.10537935 
##     nodefactor.vertex.names.7b   nodefactor.vertex.names.AITd 
##                    -2.09745105                    -0.76524471 
##   nodefactor.vertex.names.AITv   nodefactor.vertex.names.CITd 
##                    -2.26997524                     0.25673305 
##   nodefactor.vertex.names.CITv     nodefactor.vertex.names.DP 
##                    -0.81343370                    -0.02315303 
##    nodefactor.vertex.names.FEF    nodefactor.vertex.names.FST 
##                    -1.28668585                     0.22204174 
##     nodefactor.vertex.names.Id     nodefactor.vertex.names.Ig 
##                     0.66745456                    -0.76782071 
##    nodefactor.vertex.names.LIP nodefactor.vertex.names.MSTd/p 
##                    -0.46660407                    -0.50124058 
##   nodefactor.vertex.names.MSTl     nodefactor.vertex.names.MT 
##                    -0.99396402                     0.72702596 
##    nodefactor.vertex.names.PIP   nodefactor.vertex.names.PITd 
##                     0.52510831                     0.09517957 
##   nodefactor.vertex.names.PITv     nodefactor.vertex.names.PO 
##                     0.28018485                     0.65768783 
##     nodefactor.vertex.names.Ri    nodefactor.vertex.names.SII 
##                    -0.72520114                    -1.70640711 
##    nodefactor.vertex.names.SMA   nodefactor.vertex.names.STPa 
##                     1.39332880                    -0.35115207 
##   nodefactor.vertex.names.STPp     nodefactor.vertex.names.TF 
##                    -0.66893586                    -2.21189028 
##     nodefactor.vertex.names.TH     nodefactor.vertex.names.V1 
##                     0.11389124                    -1.19631498 
##     nodefactor.vertex.names.V2     nodefactor.vertex.names.V3 
##                    -0.46937749                    -0.85646630 
##    nodefactor.vertex.names.V3A     nodefactor.vertex.names.V4 
##                    -1.18754697                    -1.17313818 
##    nodefactor.vertex.names.V4t    nodefactor.vertex.names.VIP 
##                     0.15686276                    -2.77938040 
##    nodefactor.vertex.names.VOT     nodefactor.vertex.names.VP 
##                    -1.83365310                    -0.77698666 
## 
## Individual P-values (lower = worse):
##                          edges                         mutual 
##                   1.509365e-05                   2.746598e-04 
##      nodefactor.vertex.names.2     nodefactor.vertex.names.35 
##                   2.760678e-01                   8.911331e-01 
##     nodefactor.vertex.names.36     nodefactor.vertex.names.3a 
##                   2.789527e-01                   9.462328e-01 
##     nodefactor.vertex.names.3b      nodefactor.vertex.names.4 
##                   3.570127e-01                   1.427219e-03 
##     nodefactor.vertex.names.46      nodefactor.vertex.names.5 
##                   1.334077e-01                   3.880106e-01 
##      nodefactor.vertex.names.6     nodefactor.vertex.names.7a 
##                   7.521067e-01                   9.160748e-01 
##     nodefactor.vertex.names.7b   nodefactor.vertex.names.AITd 
##                   3.595367e-02                   4.441258e-01 
##   nodefactor.vertex.names.AITv   nodefactor.vertex.names.CITd 
##                   2.320909e-02                   7.973849e-01 
##   nodefactor.vertex.names.CITv     nodefactor.vertex.names.DP 
##                   4.159694e-01                   9.815282e-01 
##    nodefactor.vertex.names.FEF    nodefactor.vertex.names.FST 
##                   1.982038e-01                   8.242814e-01 
##     nodefactor.vertex.names.Id     nodefactor.vertex.names.Ig 
##                   5.044818e-01                   4.425937e-01 
##    nodefactor.vertex.names.LIP nodefactor.vertex.names.MSTd/p 
##                   6.407832e-01                   6.162018e-01 
##   nodefactor.vertex.names.MSTl     nodefactor.vertex.names.MT 
##                   3.202404e-01                   4.672101e-01 
##    nodefactor.vertex.names.PIP   nodefactor.vertex.names.PITd 
##                   5.995079e-01                   9.241722e-01 
##   nodefactor.vertex.names.PITv     nodefactor.vertex.names.PO 
##                   7.793357e-01                   5.107387e-01 
##     nodefactor.vertex.names.Ri    nodefactor.vertex.names.SII 
##                   4.683286e-01                   8.793231e-02 
##    nodefactor.vertex.names.SMA   nodefactor.vertex.names.STPa 
##                   1.635204e-01                   7.254743e-01 
##   nodefactor.vertex.names.STPp     nodefactor.vertex.names.TF 
##                   5.035364e-01                   2.697425e-02 
##     nodefactor.vertex.names.TH     nodefactor.vertex.names.V1 
##                   9.093240e-01                   2.315737e-01 
##     nodefactor.vertex.names.V2     nodefactor.vertex.names.V3 
##                   6.387998e-01                   3.917399e-01 
##    nodefactor.vertex.names.V3A     nodefactor.vertex.names.V4 
##                   2.350119e-01                   2.407404e-01 
##    nodefactor.vertex.names.V4t    nodefactor.vertex.names.VIP 
##                   8.753530e-01                   5.446271e-03 
##    nodefactor.vertex.names.VOT     nodefactor.vertex.names.VP 
##                   6.670550e-02                   4.371666e-01 
## Joint P-value (lower = worse):  0.3973637 
## 
## Note: To save space, only one in every 2 iterations of the MCMC sample
##   used for estimation was stored for diagnostics. Sample size per chain
##   was originally around 7860 with thinning interval 4096.
## 
## Note: MCMC diagnostics shown here are from the last round of
##   simulation, prior to computation of final parameter estimates.
##   Because the final estimates are refinements of those used for this
##   simulation run, these diagnostics may understate model performance.
##   To directly assess the performance of the final model on in-model
##   statistics, please use the GOF command: gof(ergmFitObject,
##   GOF=~model).

Based on the MCMC chains plot, the model did pretty good in all of the variables. According to the results of the MCMC chains plot, all of the variables have created a credible posterior distribution, as it is equally distributed around zero and has a bell-shaped histogram.

sim <- simulate(model2)
tt <- graph_from_edgelist(as.matrix(as.edgelist(net_sna), directed = T))
tt1 <- graph_from_edgelist(as.matrix(as.edgelist(sim), directed = T))

igraph::reciprocity(tt)
## [1] 0.8984881
igraph::reciprocity(tt1)
## [1] 0.886918
igraph::transitivity(tt)
## [1] 0.5187266
igraph::transitivity(tt1)
## [1] 0.3361911
igraph::edge_density(tt)
## [1] 0.2338384
igraph::edge_density(tt1)
## [1] 0.2277778
set.seed(1)
net2 <- ggraph(tt) +
  geom_edge_link0(color = "black", alpha = .5) +
  geom_node_point(fill = "#EFD9D3",
                  color = "black", shape = 21) +
  ggnetwork::theme_blank() +
  labs(title = "Illustrative") +
  theme(legend.position = "none", plot.title = element_text(hjust = 0.5))
## Using "stress" as default layout
ergm1_net <- ggraph(tt1) +
  geom_edge_link0(color = "black", alpha = .5) +
  geom_node_point(fill = "#B0A498", color = "black", shape = 21) +
  labs(title = "Simulation 1") +
  ggnetwork::theme_blank() +
  theme(legend.position = "none", plot.title = element_text(hjust = 0.5))
## Using "stress" as default layout
nets <- ggarrange(net2, ergm1_net)
nets

Community Detection

library(igraph)
library(ggraph)

net_undirected <- as.undirected(net, mode = "collapse")

## Fluid clusters####
set.seed(1)
cfc <- cluster_fluid_communities(net_undirected, no.of.communities = 4) 
modularity(cfc) 
## [1] 0.3582161
membership(cfc) 
##     V1     V2     V3    V3A     V4    V4t    VOT     VP     MT MSTd/p   MSTl 
##      3      3      3      3      2      3      2      3      3      3      3 
##     PO    LIP    PIP    VIP     DP     7a    FST   PITd   PITv   CITd   CITv 
##      3      3      3      1      3      3      3      2      2      2      2 
##   AITd   AITv   STPp   STPa     TF     TH    FEF     46     3a     3b      1 
##      2      2      4      4      4      2      3      4      1      1      1 
##      2      5     Ri    SII     7b      4      6    SMA     Ig     Id     35 
##      1      1      1      1      1      1      1      1      4      4      4 
##     36 
##      4
length(cfc)
## [1] 4
sizes(cfc)
## Community sizes
##  1  2  3  4 
## 12  9 16  8
colors <- colorpanel(length(cfc), low = "#efd9d3", high = "#57424a")
cfc_plot <- ggraph(net_undirected) +
  geom_edge_link0(color = "black", alpha = .5) +
  geom_node_point(aes(fill = as.factor(membership(cfc))),
                  size = igraph::degree(net_undirected, mode = "all"), 
                  color = "black", shape = 21) +
  scale_fill_manual(values = c(colors)) +
  ggnetwork::theme_blank() +
  geom_node_text(aes(label = as.factor(membership(cfc))), repel = T) +
  theme(legend.position = "none")
## Using "stress" as default layout
cfc_plot

## Leading Eigenvector####
set.seed(1)
cle <- cluster_leading_eigen(net_undirected)
modularity(cle) 
## [1] 0.3563245
membership(cle) 
##     V1     V2     V3    V3A     V4    V4t    VOT     VP     MT MSTd/p   MSTl 
##      1      1      1      1      3      1      3      1      1      1      1 
##     PO    LIP    PIP    VIP     DP     7a    FST   PITd   PITv   CITd   CITv 
##      1      1      1      2      1      2      1      3      3      3      3 
##   AITd   AITv   STPp   STPa     TF     TH    FEF     46     3a     3b      1 
##      3      3      3      4      3      3      1      4      2      2      2 
##      2      5     Ri    SII     7b      4      6    SMA     Ig     Id     35 
##      2      2      2      2      2      2      2      2      4      4      4 
##     36 
##      4
length(cle)
## [1] 4
sizes(cle)
## Community sizes
##  1  2  3  4 
## 15 13 11  6
colors <- colorpanel(length(cle), low = "#efd9d3", high = "#57424a")
cle_plot <- ggraph(net_undirected) +
  geom_edge_link0(color = "black", alpha = .5) +
  geom_node_point(aes(fill = as.factor(membership(cle))),
                  size = igraph::degree(net_undirected, mode = "all"), 
                  color = "black", shape = 21) +
  scale_fill_manual(values = c(colors)) +
  ggnetwork::theme_blank() +
  geom_node_text(aes(label = as.factor(membership(cle))), repel = T) +
  theme(legend.position = "none")
## Using "stress" as default layout
cle_plot

## Walktrap####
set.seed(1)
cwt <- cluster_walktrap(net_undirected)
modularity(cwt) 
## [1] 0.3213072
membership(cwt) 
##     V1     V2     V3    V3A     V4    V4t    VOT     VP     MT MSTd/p   MSTl 
##      2      2      2      2      2      2      2      2      2      2      2 
##     PO    LIP    PIP    VIP     DP     7a    FST   PITd   PITv   CITd   CITv 
##      2      2      2      1      2      2      2      4      4      4      4 
##   AITd   AITv   STPp   STPa     TF     TH    FEF     46     3a     3b      1 
##      4      4      4      4      2      4      2      2      1      1      1 
##      2      5     Ri    SII     7b      4      6    SMA     Ig     Id     35 
##      1      1      1      1      1      1      1      1      3      3      3 
##     36 
##      3
length(cwt)
## [1] 4
sizes(cwt)
## Community sizes
##  1  2  3  4 
## 12 20  4  9
colors <- colorpanel(length(cwt), low = "#efd9d3", high = "#57424a")
cwt_plot <- ggraph(net_undirected) +
  geom_edge_link0(color = "black", alpha = .5) +
  geom_node_point(aes(fill = as.factor(membership(cwt))),
                  size = igraph::degree(net_undirected, mode = "all"), 
                  color = "black", shape = 21) +
  scale_fill_manual(values = c(colors)) +
  ggnetwork::theme_blank() +
  geom_node_text(aes(label = as.factor(membership(cwt))), repel = T) +
  theme(legend.position = "none")
## Using "stress" as default layout
cwt_plot

## Label Propagation Techniques####
set.seed(1)
clp <- cluster_label_prop(net_undirected)
csg <- cluster_spinglass(net_undirected)
modularity(clp) 
## [1] 0.2302115
membership(clp) 
##     V1     V2     V3    V3A     V4    V4t    VOT     VP     MT MSTd/p   MSTl 
##      1      1      1      1      1      1      1      1      1      1      1 
##     PO    LIP    PIP    VIP     DP     7a    FST   PITd   PITv   CITd   CITv 
##      1      1      1      1      1      1      1      1      1      1      1 
##   AITd   AITv   STPp   STPa     TF     TH    FEF     46     3a     3b      1 
##      1      1      1      1      1      1      1      1      2      2      2 
##      2      5     Ri    SII     7b      4      6    SMA     Ig     Id     35 
##      2      2      2      2      2      2      2      2      2      2      1 
##     36 
##      1
length(clp)
## [1] 2
sizes(clp)
## Community sizes
##  1  2 
## 32 13
colors <- colorpanel(length(clp), low = "#efd9d3", high = "#57424a")
clp_plot <- ggraph(net_undirected) +
  geom_edge_link0(color = "black", alpha = .5) +
  geom_node_point(aes(fill = as.factor(membership(clp))),
                  size = igraph::degree(net_undirected, mode = "all"), 
                  color = "black", shape = 21) +
  scale_fill_manual(values = c(colors)) +
  ggnetwork::theme_blank() +
  geom_node_text(aes(label = as.factor(membership(clp))), repel = T) +
  theme(legend.position = "none")
## Using "stress" as default layout
## Optimal community structure####
set.seed(1)
clo <- cluster_optimal(net_undirected)
modularity(clo) 
## [1] 0.3750404
membership(clo) 
##     V1     V2     V3    V3A     V4    V4t    VOT     VP     MT MSTd/p   MSTl 
##      1      1      1      1      2      1      2      1      1      1      1 
##     PO    LIP    PIP    VIP     DP     7a    FST   PITd   PITv   CITd   CITv 
##      1      1      1      3      1      1      1      2      2      2      2 
##   AITd   AITv   STPp   STPa     TF     TH    FEF     46     3a     3b      1 
##      2      2      2      2      2      2      1      2      3      3      3 
##      2      5     Ri    SII     7b      4      6    SMA     Ig     Id     35 
##      3      3      3      3      3      3      3      3      3      3      3 
##     36 
##      2
length(clo)
## [1] 3
sizes(clo)
## Community sizes
##  1  2  3 
## 16 14 15
colors <- colorpanel(length(clo), low = "#efd9d3", high = "#57424a")
clo_plot <- ggraph(net_undirected) +
  geom_edge_link0(color = "black", alpha = .5) +
  geom_node_point(aes(fill = as.factor(membership(clo))),
                  size = igraph::degree(net_undirected, mode = "all"), 
                  color = "black", shape = 21) +
  scale_fill_manual(values = c(colors)) +
  ggnetwork::theme_blank() +
  geom_node_text(aes(label = as.factor(membership(clo))), repel = T) +
  theme(legend.position = "none")
## Using "stress" as default layout
## Fast-Greedy Techniques####
set.seed(1)
s_un_net <- simplify(net_undirected, remove.multiple = T, remove.loops = T)
cfg <- cluster_fast_greedy(s_un_net) 
modularity(cfg) 
## [1] 0.3504729
membership(cfg) 
##     V1     V2     V3    V3A     V4    V4t    VOT     VP     MT MSTd/p   MSTl 
##      2      2      2      2      3      2      3      2      2      2      2 
##     PO    LIP    PIP    VIP     DP     7a    FST   PITd   PITv   CITd   CITv 
##      2      2      2      1      2      1      3      3      3      3      3 
##   AITd   AITv   STPp   STPa     TF     TH    FEF     46     3a     3b      1 
##      3      3      3      3      3      3      2      1      1      1      1 
##      2      5     Ri    SII     7b      4      6    SMA     Ig     Id     35 
##      1      1      1      1      1      1      1      1      1      1      1 
##     36 
##      1
length(cfg)
## [1] 3
sizes(cfg)
## Community sizes
##  1  2  3 
## 18 14 13
colors <- colorpanel(length(cfg), low = "#efd9d3", high = "#57424a")
cfg_plot <- ggraph(net_undirected) +
  geom_edge_link0(color = "black", alpha = .5) +
  geom_node_point(aes(fill = as.factor(membership(cfg))),
                  size = igraph::degree(net_undirected, mode = "all"), 
                  color = "black", shape = 21) +
  scale_fill_manual(values = c(colors)) +
  ggnetwork::theme_blank() +
  geom_node_text(aes(label = as.factor(membership(cfg))), repel = T) +
  theme(legend.position = "none")
## Using "stress" as default layout
## InfoMAP####
set.seed(1)
cim <- cluster_infomap(net_undirected)
modularity(cim) 
## [1] 0.2755863
membership(cim) 
##     V1     V2     V3    V3A     V4    V4t    VOT     VP     MT MSTd/p   MSTl 
##      1      1      1      1      1      1      1      1      1      1      1 
##     PO    LIP    PIP    VIP     DP     7a    FST   PITd   PITv   CITd   CITv 
##      1      1      1      2      1      1      1      1      1      1      1 
##   AITd   AITv   STPp   STPa     TF     TH    FEF     46     3a     3b      1 
##      1      1      1      1      1      1      1      1      2      2      2 
##      2      5     Ri    SII     7b      4      6    SMA     Ig     Id     35 
##      2      2      2      2      2      2      2      2      3      3      3 
##     36 
##      3
length(cim)
## [1] 3
sizes(cim)
## Community sizes
##  1  2  3 
## 29 12  4
colors <- colorpanel(length(cim), low = "#efd9d3", high = "#57424a")
cim_plot <- ggraph(net_undirected) +
  geom_edge_link0(color = "black", alpha = .5) +
  geom_node_point(aes(fill = as.factor(membership(cim))),
                  size = igraph::degree(net_undirected, mode = "all"), 
                  color = "black", shape = 21) +
  scale_fill_manual(values = c(colors)) +
  ggnetwork::theme_blank() +
  geom_node_text(aes(label = as.factor(membership(cim))), repel = T) +
  theme(legend.position = "none")
## Using "stress" as default layout
clv <- cluster_louvain(net_undirected)
modularity(clv) 
## [1] 0.3741638
membership(clv) 
##     V1     V2     V3    V3A     V4    V4t    VOT     VP     MT MSTd/p   MSTl 
##      1      1      1      1      2      1      2      1      1      1      1 
##     PO    LIP    PIP    VIP     DP     7a    FST   PITd   PITv   CITd   CITv 
##      1      1      1      3      1      1      1      2      2      2      2 
##   AITd   AITv   STPp   STPa     TF     TH    FEF     46     3a     3b      1 
##      2      2      2      2      2      2      1      2      3      3      3 
##      2      5     Ri    SII     7b      4      6    SMA     Ig     Id     35 
##      3      3      3      3      3      3      3      3      4      4      4 
##     36 
##      4
communities(clv)
## $`1`
##  [1] "V1"     "V2"     "V3"     "V3A"    "V4t"    "VP"     "MT"     "MSTd/p"
##  [9] "MSTl"   "PO"     "LIP"    "PIP"    "DP"     "7a"     "FST"    "FEF"   
## 
## $`2`
##  [1] "V4"   "VOT"  "PITd" "PITv" "CITd" "CITv" "AITd" "AITv" "STPp" "STPa"
## [11] "TF"   "TH"   "46"  
## 
## $`3`
##  [1] "VIP" "3a"  "3b"  "1"   "2"   "5"   "Ri"  "SII" "7b"  "4"   "6"   "SMA"
## 
## $`4`
## [1] "Ig" "Id" "35" "36"
length(clv)
## [1] 4
sizes(clv)
## Community sizes
##  1  2  3  4 
## 16 13 12  4
colors <- colorpanel(length(clv), low = "#efd9d3", high = "#57424a")
clv_plot <- ggraph(net_undirected) +
  geom_edge_link0(color = "black", alpha = .5) +
  geom_node_point(aes(fill = as.factor(membership(clv))),
                  size = igraph::degree(net_undirected, mode = "all"), 
                  color = "black", shape = 21) +
  scale_fill_manual(values = c(colors)) +
  ggnetwork::theme_blank() +
  geom_node_text(aes(label = as.factor(membership(clv))), repel = T) +
  theme(legend.position = "none")
## Using "stress" as default layout
scores <- c(fluid = modularity(cim),
            eigen = modularity(cle),
            walk = modularity(cwt),
            spinglass = modularity(csg),
            label = modularity(clp),
            optimal = modularity(clo),
            fastgreed = modularity(cfg),
            infomap = modularity(cim),
            louvain = modularity(clv))
scores
##     fluid     eigen      walk spinglass     label   optimal fastgreed   infomap 
## 0.2755863 0.3563245 0.3213072 0.3741638 0.2302115 0.3750404 0.3504729 0.2755863 
##   louvain 
## 0.3741638
#Louvain has highest modularity
lcom <- cluster_louvain(net_undirected)
ocom <- optimal.community(net_undirected)
lsizes <- table(lcom$membership)
osizes <- table(ocom$membership)
lcom
## IGRAPH clustering multi level, groups: 4, mod: 0.37
## + groups:
##   $`1`
##    [1] "V1"     "V2"     "V3"     "V3A"    "V4t"    "VP"     "MT"     "MSTd/p"
##    [9] "MSTl"   "PO"     "LIP"    "PIP"    "DP"     "7a"     "FST"    "FEF"   
##   
##   $`2`
##    [1] "V4"   "VOT"  "PITd" "PITv" "CITd" "CITv" "AITd" "AITv" "STPp" "STPa"
##   [11] "TF"   "TH"   "46"  
##   
##   $`3`
##    [1] "VIP" "3a"  "3b"  "1"   "2"   "5"   "Ri"  "SII" "7b"  "4"   "6"   "SMA"
##   + ... omitted several groups/vertices
ocom
## IGRAPH clustering optimal, groups: 3, mod: 0.38
## + groups:
##   $`1`
##    [1] "V1"     "V2"     "V3"     "V3A"    "V4t"    "VP"     "MT"     "MSTd/p"
##    [9] "MSTl"   "PO"     "LIP"    "PIP"    "DP"     "7a"     "FST"    "FEF"   
##   
##   $`2`
##    [1] "V4"   "VOT"  "PITd" "PITv" "CITd" "CITv" "AITd" "AITv" "STPp" "STPa"
##   [11] "TF"   "TH"   "46"   "36"  
##   
##   $`3`
##    [1] "VIP" "3a"  "3b"  "1"   "2"   "5"   "Ri"  "SII" "7b"  "4"   "6"   "SMA"
##   + ... omitted several groups/vertices
lsizes
## 
##  1  2  3  4 
## 16 13 12  4
osizes
## 
##  1  2  3 
## 16 14 15